일차함수와 일차방정식의 관계

일차함수와 일차방정식

  1. 일차함수와 일차방정식의 관계
    미지수가 개인 일차방정식 의 그래프는 일차함수 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ [1] 의 그래프와 같다.


  1. 일차방정식 와 의 그래프
    i. 일차방정식 (단, )의 그래프는 점 ​ ​ ​ ​ ​ ​ [2] 을 지나고, ​ ​ ​ [3] 축에 평행한 직선이다.
    ii. 일차방정식 (단, )의 그래프는 점 ​ ​ ​ ​ ​ ​ [4] 를 지나고, ​ ​ ​ [5] 축에 평행한 직선이다.
일차방정식 의 그래프
일차방정식 의 그래프
<figcaption> 일차방정식 x=p(p!=0)의 그래프 </figcaption> 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="362.578002pt" height="315.755953pt" viewBox="0 0 362.578002 315.755953" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2024-12-16T13:16:42.959837</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 315.755953 
L 362.578002 315.755953 
L 362.578002 0 
L 0 0 
L 0 315.755953 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 7.2 308.555953 
L 354.205637 308.555953 
L 354.205637 11.12255 
L 7.2 11.12255 
L 7.2 308.555953 
z
" style="fill: none"/>
   </g>
   <g id="patch_3">
    <path d="M 352.358365 258.983719 
L 342.31884 262.999529 
L 344.326745 258.983719 
L 352.197732 258.983719 
L 352.197732 258.983719 
L 344.326745 258.983719 
L 342.31884 254.967909 
z
"/>
   </g>
   <g id="patch_4">
    <path d="M 56.772234 12.969823 
L 60.788044 23.009347 
L 56.772234 21.001442 
L 56.772234 13.130455 
L 56.772234 13.130455 
L 56.772234 21.001442 
L 52.756424 23.009347 
z
"/>
   </g>
   <g id="patch_5">
    <path d="M 202.18412 68.956823 
C 202.628126 72.064865 203.570325 75.081094 204.974395 77.889234 
C 206.378465 80.697374 208.226129 83.260871 210.446159 85.480901 
" clip-path="url(#p7c418bfc0d)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_6">
    <path d="M 205.488935 50.780337 
C 203.979315 53.533174 202.923337 56.511477 202.361709 59.600431 
C 201.800081 62.689385 201.740114 65.848781 202.18412 68.956823 
" clip-path="url(#p7c418bfc0d)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_7">
    <path d="M 205.727295 50.345682 
L 203.028225 62.999765 
L 200.960106 59.038792 
L 199.529949 61.646725 
L 199.529949 61.646725 
L 200.960106 59.038792 
L 196.508392 59.424373 
z
" clip-path="url(#p7c418bfc0d)"/>
   </g>
   <g id="text_1">
    <!-- 점 $(5,0)$을 지나고 -->
    <g transform="translate(215.403382 89.530709) scale(0.15 -0.15)">
     <defs>
      <path id="nanumgtmc8-10" d="M 1497 824 
C 1497 1181 1605 1277 1983 1277 
L 4665 1277 
C 5068 1277 5151 1187 5151 824 
L 5151 -381 
C 5151 -739 5043 -835 4665 -835 
L 1983 -835 
C 1580 -835 1497 -739 1497 -381 
L 1497 824 
z
M 2092 893 
C 1970 893 1938 854 1938 727 
L 1938 -285 
C 1938 -412 1970 -451 2092 -451 
L 4556 -451 
C 4678 -451 4710 -412 4710 -285 
L 4710 727 
C 4710 854 4678 893 4556 893 
L 2092 893 
z
M 3308 4201 
C 3187 3849 2969 3510 2668 3177 
C 2956 2870 3398 2582 3904 2369 
C 3974 2344 3974 2293 3948 2248 
L 3820 2017 
C 3795 1973 3737 1973 3692 1992 
C 3321 2158 2790 2486 2393 2882 
C 1907 2402 1298 1999 703 1737 
C 658 1718 613 1698 588 1743 
L 460 1967 
C 434 2012 460 2063 505 2082 
C 1606 2614 2387 3279 2822 4175 
C 2879 4297 2835 4342 2713 4342 
L 837 4342 
C 786 4342 761 4367 761 4425 
L 761 4649 
C 761 4700 786 4726 837 4726 
L 2886 4726 
C 3328 4726 3443 4585 3308 4201 
z
M 4710 3516 
L 4710 4911 
C 4710 4969 4742 5001 4800 5001 
L 5062 5001 
C 5119 5001 5151 4969 5151 4911 
L 5151 1724 
C 5151 1666 5119 1634 5062 1634 
L 4800 1634 
C 4742 1634 4710 1666 4710 1724 
L 4710 3132 
L 3526 3132 
C 3469 3132 3443 3158 3443 3209 
L 3443 3439 
C 3443 3490 3469 3516 3526 3516 
L 4710 3516 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-28" d="M 1958 -1561 
C 1958 -1555 1958 -1542 1939 -1523 
C 1645 -1224 858 -407 858 1581 
C 858 3569 1632 4379 1946 4697 
C 1946 4704 1958 4717 1958 4736 
C 1958 4755 1939 4768 1914 4768 
C 1843 4768 1299 4296 986 3594 
C 666 2887 576 2199 576 1588 
C 576 1128 621 351 1005 -471 
C 1312 -1135 1837 -1600 1914 -1600 
C 1946 -1600 1958 -1587 1958 -1561 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-35" d="M 730 3692 
C 794 3666 1056 3584 1325 3584 
C 1920 3584 2246 3911 2432 4100 
C 2432 4157 2432 4192 2394 4192 
C 2387 4192 2374 4192 2323 4163 
C 2099 4058 1837 3973 1517 3973 
C 1325 3973 1037 3999 723 4139 
C 653 4171 640 4171 634 4171 
C 602 4171 595 4164 595 4037 
L 595 2203 
C 595 2089 595 2057 659 2057 
C 691 2057 704 2070 736 2114 
C 941 2401 1222 2522 1542 2522 
C 1766 2522 2246 2382 2246 1289 
C 2246 1085 2246 715 2054 421 
C 1894 159 1645 25 1370 25 
C 947 25 518 320 403 814 
C 429 807 480 795 506 795 
C 589 795 749 840 749 1038 
C 749 1210 627 1280 506 1280 
C 358 1280 262 1190 262 1011 
C 262 454 704 -128 1382 -128 
C 2042 -128 2669 440 2669 1264 
C 2669 2030 2170 2624 1549 2624 
C 1222 2624 947 2503 730 2274 
L 730 3692 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-3b" d="M 1248 -31 
C 1248 343 1126 619 864 619 
C 659 619 557 453 557 313 
C 557 172 653 0 870 0 
C 954 0 1024 26 1082 83 
C 1094 96 1101 96 1107 96 
C 1120 96 1120 5 1120 -27 
C 1120 -240 1082 -659 710 -1080 
C 640 -1157 640 -1170 640 -1183 
C 640 -1216 672 -1248 704 -1248 
C 755 -1248 1248 -771 1248 -31 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-29" d="M 1683 1581 
C 1683 2040 1638 2817 1254 3639 
C 947 4303 422 4768 346 4768 
C 326 4768 301 4761 301 4729 
C 301 4717 307 4710 314 4697 
C 621 4378 1402 3568 1402 1584 
C 1402 -407 627 -1217 314 -1537 
C 307 -1549 301 -1556 301 -1568 
C 301 -1600 326 -1600 346 -1600 
C 416 -1600 960 -1128 1274 -426 
C 1594 281 1683 969 1683 1581 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmc7-44" d="M 3002 2874 
C 2195 2874 1037 3078 1037 3974 
C 1037 4858 2195 5069 3002 5069 
C 3840 5069 4966 4870 4966 3974 
C 4966 3078 3821 2874 3002 2874 
z
M 3002 4678 
C 2458 4678 1504 4570 1504 3968 
C 1504 3373 2458 3264 3002 3264 
C 3546 3264 4499 3373 4499 3968 
C 4499 4570 3533 4678 3002 4678 
z
M 5824 2410 
L 5824 2192 
C 5824 2148 5773 2109 5728 2109 
L 288 2109 
C 237 2109 192 2148 192 2192 
L 192 2410 
C 192 2461 237 2493 288 2493 
L 5728 2493 
C 5773 2493 5824 2461 5824 2410 
z
M 5056 -767 
C 5056 -812 5005 -844 4973 -844 
L 1568 -844 
C 1165 -844 1082 -710 1082 -355 
L 1082 103 
C 1082 458 1210 553 1594 553 
L 4346 553 
C 4467 553 4486 573 4486 702 
L 4486 1064 
C 4486 1194 4474 1213 4352 1213 
L 1158 1213 
C 1114 1213 1069 1239 1069 1284 
L 1069 1508 
C 1069 1552 1114 1578 1158 1578 
L 4416 1578 
C 4819 1578 4922 1475 4922 1109 
L 4922 645 
C 4922 285 4794 189 4410 189 
L 1651 189 
C 1530 189 1517 169 1517 44 
L 1517 -327 
C 1517 -447 1536 -472 1658 -472 
L 4966 -472 
C 5011 -472 5056 -498 5056 -543 
L 5056 -767 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmc9-c0" d="M 3827 859 
C 3802 814 3770 801 3699 852 
C 3283 1166 2771 1671 2413 2151 
C 1984 1614 1446 1134 749 647 
C 704 622 659 603 634 635 
L 480 833 
C 448 878 461 929 493 955 
C 1856 1921 2586 2894 2886 3968 
C 2918 4090 2899 4141 2778 4141 
L 838 4141 
C 787 4141 762 4166 762 4224 
L 762 4448 
C 762 4499 794 4525 851 4525 
L 2950 4525 
C 3392 4525 3494 4390 3373 4000 
C 3206 3456 2970 2950 2669 2496 
C 3066 1947 3565 1415 3962 1159 
C 4006 1127 4000 1076 3974 1044 
L 3827 859 
z
M 5062 -896 
L 4800 -896 
C 4742 -896 4710 -864 4710 -806 
L 4710 4915 
C 4710 4973 4742 5005 4800 5005 
L 5062 5005 
C 5120 5005 5152 4973 5152 4915 
L 5152 -806 
C 5152 -864 5120 -896 5062 -896 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmb0-98" d="M 4839 -896 
L 4577 -896 
C 4519 -896 4487 -864 4487 -806 
L 4487 4915 
C 4487 4973 4519 5005 4577 5005 
L 4839 5005 
C 4897 5005 4929 4973 4929 4915 
L 4929 2586 
L 5812 2586 
C 5863 2586 5908 2554 5908 2502 
L 5908 2285 
C 5908 2240 5863 2202 5812 2202 
L 4929 2202 
L 4929 -806 
C 4929 -864 4897 -896 4839 -896 
z
M 1313 1274 
C 2132 1248 3060 1363 3860 1517 
C 3931 1536 3975 1510 3988 1440 
L 4020 1261 
C 4033 1203 4007 1165 3937 1146 
C 3310 992 1998 858 1223 877 
C 839 883 718 1050 718 1408 
L 718 4558 
C 718 4615 750 4647 807 4647 
L 1070 4647 
C 1127 4647 1159 4615 1159 4558 
L 1159 1440 
C 1159 1312 1191 1280 1313 1274 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmac-e0" d="M 5824 426 
L 5824 208 
C 5824 164 5773 125 5728 125 
L 288 125 
C 237 125 192 164 192 208 
L 192 426 
C 192 477 237 509 288 509 
L 2566 509 
L 2566 2461 
C 2566 2511 2598 2556 2650 2556 
L 2925 2556 
C 2970 2556 3008 2511 3008 2461 
L 3008 509 
L 5728 509 
C 5773 509 5824 477 5824 426 
z
M 1094 4549 
L 4506 4549 
C 4915 4549 4973 4389 4992 4037 
C 5011 3333 4954 2245 4781 1375 
C 4774 1324 4736 1272 4685 1279 
L 4429 1298 
C 4358 1304 4333 1343 4352 1413 
C 4506 2079 4608 3468 4557 4031 
C 4538 4152 4531 4165 4410 4165 
L 1094 4165 
C 1050 4165 998 4197 998 4242 
L 998 4472 
C 998 4524 1050 4549 1094 4549 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#nanumgtmc8-10" transform="scale(0.996264)"/>
     <use xlink:href="#CMR17-28" transform="translate(124.877884 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-35" transform="translate(160.158652 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-3b" transform="translate(205.849129 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-30" transform="translate(249.550711 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(295.241188 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmc7-44" transform="translate(330.521956 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmc9-c0" transform="translate(455.39984 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmb0-98" transform="translate(549.048612 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmac-e0" transform="translate(642.697383 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $y$축에 평행한 직선 -->
    <g transform="translate(195.574489 114.657224) scale(0.15 -0.15)">
     <defs>
      <path id="CMMI12-79" d="M 1683 -700 
C 1510 -939 1261 -1152 947 -1152 
C 870 -1152 563 -1152 467 -889 
C 486 -895 518 -895 531 -895 
C 723 -895 851 -729 851 -582 
C 851 -435 730 -384 634 -384 
C 531 -384 307 -458 307 -759 
C 307 -1071 582 -1286 947 -1286 
C 1587 -1286 2234 -700 2413 6 
L 3040 2485 
C 3046 2517 3059 2556 3059 2594 
C 3059 2689 2982 2753 2886 2753 
C 2829 2753 2694 2727 2643 2535 
L 2170 658 
C 2138 543 2138 530 2086 460 
C 1958 281 1747 64 1440 64 
C 1082 64 1050 415 1050 588 
C 1050 952 1222 1443 1395 1903 
C 1466 2088 1504 2178 1504 2305 
C 1504 2574 1312 2816 998 2816 
C 410 2816 173 1890 173 1839 
C 173 1814 198 1782 243 1782 
C 301 1782 307 1807 333 1897 
C 486 2433 730 2689 979 2689 
C 1037 2689 1146 2689 1146 2478 
C 1146 2312 1075 2127 979 1884 
C 666 1047 666 837 666 683 
C 666 77 1101 -64 1421 -64 
C 1606 -64 1837 -6 2061 230 
L 2067 224 
C 1971 -147 1907 -392 1683 -700 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmcd-95" d="M 1043 893 
L 2778 893 
L 2778 1597 
L 288 1597 
C 237 1597 192 1636 192 1680 
L 192 1898 
C 192 1949 237 1981 288 1981 
L 5728 1981 
C 5773 1981 5824 1949 5824 1898 
L 5824 1680 
C 5824 1636 5773 1597 5728 1597 
L 3219 1597 
L 3219 893 
L 4442 893 
C 4845 893 4928 759 4928 407 
L 4928 -860 
C 4928 -918 4896 -950 4838 -950 
L 4576 -950 
C 4518 -950 4486 -918 4486 -860 
L 4486 375 
C 4486 496 4461 509 4339 509 
L 1043 509 
C 998 509 947 541 947 586 
L 947 816 
C 947 868 998 893 1043 893 
z
M 4403 3615 
C 4179 3442 3904 3296 3578 3148 
C 4058 3014 4640 2893 5146 2823 
C 5216 2804 5222 2785 5203 2727 
L 5146 2510 
C 5133 2466 5101 2446 5043 2459 
C 4493 2542 3661 2733 3015 2919 
C 2426 2695 1741 2522 998 2394 
C 934 2381 896 2394 877 2439 
L 800 2657 
C 781 2701 813 2740 864 2759 
C 2112 2996 2989 3295 3834 3697 
C 3981 3766 3955 3837 3821 3837 
L 1274 3837 
C 1216 3837 1190 3862 1190 3920 
L 1190 4144 
C 1190 4195 1216 4221 1274 4221 
L 4038 4221 
C 4704 4221 4870 3953 4403 3615 
z
M 3910 4912 
L 3910 4707 
C 3910 4643 3878 4611 3814 4611 
L 2131 4611 
C 2067 4611 2035 4643 2035 4707 
L 2035 4912 
C 2035 4970 2067 5002 2131 5002 
L 3814 5002 
C 3878 5002 3910 4970 3910 4912 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmc5-d0" d="M 4230 -563 
C 4230 -621 4198 -653 4140 -653 
L 3897 -653 
C 3839 -653 3807 -621 3807 -563 
L 3807 2419 
L 3083 2419 
C 3013 1242 2431 659 1707 659 
C 946 659 370 1318 370 2643 
C 370 3974 952 4608 1714 4608 
C 2450 4608 3032 4032 3083 2803 
L 3807 2803 
L 3807 4806 
C 3807 4864 3839 4896 3897 4896 
L 4140 4896 
C 4198 4896 4230 4864 4230 4806 
L 4230 -563 
z
M 2642 2643 
C 2642 3424 2341 4224 1707 4224 
C 1042 4224 818 3392 818 2643 
C 818 1894 1074 1043 1707 1043 
C 2341 1043 2642 1869 2642 2643 
z
M 5361 -806 
C 5361 -864 5329 -896 5271 -896 
L 5028 -896 
C 4970 -896 4938 -864 4938 -806 
L 4938 4915 
C 4938 4973 4970 5005 5028 5005 
L 5271 5005 
C 5329 5005 5361 4973 5361 4915 
L 5361 -806 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmd3-c9" d="M 5203 257 
C 5203 -475 4365 -908 3347 -908 
C 2246 -908 1498 -475 1498 257 
C 1498 969 2246 1408 3347 1408 
C 4365 1408 5203 982 5203 257 
z
M 3629 4349 
L 3098 4349 
L 3098 2317 
C 3373 2336 3635 2362 3885 2406 
C 3962 2426 3974 2413 3994 2355 
L 4032 2144 
C 4038 2093 4032 2074 3949 2054 
C 3462 1971 2842 1939 2221 1907 
C 1747 1875 934 1869 435 1888 
C 384 1888 339 1926 339 1971 
L 339 2176 
C 339 2227 384 2259 435 2259 
L 1171 2259 
L 1171 4349 
L 480 4349 
C 435 4349 390 4387 390 4438 
L 390 4637 
C 390 4688 435 4726 480 4726 
L 3629 4726 
C 3693 4726 3725 4701 3725 4643 
L 3725 4432 
C 3725 4374 3693 4349 3629 4349 
z
M 4749 237 
C 4749 739 4083 1024 3341 1024 
C 2522 1024 1952 739 1952 237 
C 1952 -250 2522 -524 3341 -524 
C 4083 -524 4749 -250 4749 237 
z
M 4710 4096 
L 4710 4918 
C 4710 4976 4742 5008 4800 5008 
L 5062 5008 
C 5120 5008 5152 4976 5152 4918 
L 5152 1555 
C 5152 1498 5120 1466 5062 1466 
L 4800 1466 
C 4742 1466 4710 1498 4710 1555 
L 4710 2688 
L 3731 2688 
C 3674 2688 3648 2714 3648 2765 
L 3648 2989 
C 3648 3040 3674 3066 3731 3066 
L 4710 3066 
L 4710 3718 
L 3731 3718 
C 3674 3718 3648 3744 3648 3795 
L 3648 4019 
C 3648 4070 3674 4096 3731 4096 
L 4710 4096 
z
M 2208 2278 
C 2362 2278 2515 2285 2662 2291 
L 2662 4349 
L 1606 4349 
L 1606 2266 
C 1830 2272 2035 2272 2208 2278 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmd5-89" d="M 5382 69 
C 5382 -562 4448 -905 3431 -905 
C 2323 -905 1485 -562 1485 69 
C 1485 680 2323 1030 3431 1030 
C 4448 1030 5382 687 5382 69 
z
M 3053 2427 
C 3053 1914 2611 1414 1837 1414 
C 1050 1414 621 1914 621 2427 
C 621 2951 1050 3431 1837 3431 
C 2611 3431 3053 2939 3053 2427 
z
M 4128 3303 
L 4941 3303 
L 4941 4915 
C 4941 4973 4973 5005 5030 5005 
L 5274 5005 
C 5331 5005 5363 4973 5363 4915 
L 5363 1306 
C 5363 1248 5331 1216 5274 1216 
L 5030 1216 
C 4973 1216 4941 1248 4941 1306 
L 4941 2918 
L 4128 2918 
L 4128 1504 
C 4128 1446 4096 1414 4038 1414 
L 3795 1414 
C 3738 1414 3706 1446 3706 1504 
L 3706 4806 
C 3706 4864 3738 4896 3795 4896 
L 4038 4896 
C 4096 4896 4128 4864 4128 4806 
L 4128 3303 
z
M 4934 50 
C 4934 476 4154 672 3424 672 
C 2618 672 1933 476 1933 50 
C 1933 -357 2618 -547 3424 -547 
C 4154 -547 4934 -357 4934 50 
z
M 2643 2426 
C 2643 2778 2374 3066 1837 3066 
C 1299 3066 1030 2784 1030 2426 
C 1030 2086 1299 1779 1837 1779 
C 2374 1779 2643 2086 2643 2426 
z
M 3155 3719 
L 474 3719 
C 429 3719 384 3758 384 3809 
L 384 4013 
C 384 4065 429 4103 474 4103 
L 3155 4103 
C 3219 4103 3251 4078 3251 4020 
L 3251 3803 
C 3251 3745 3219 3719 3155 3719 
z
M 2515 4480 
L 1152 4480 
C 1107 4480 1062 4512 1062 4563 
L 1062 4781 
C 1062 4833 1101 4871 1146 4871 
L 2515 4871 
C 2579 4871 2611 4839 2611 4782 
L 2611 4570 
C 2611 4512 2579 4480 2515 4480 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmd5-5c" d="M 3488 2161 
C 3488 1538 2912 1037 2163 1037 
C 1408 1037 845 1538 845 2161 
C 845 2776 1408 3271 2163 3271 
C 2912 3271 3488 2776 3488 2161 
z
M 4838 454 
L 4576 454 
C 4518 454 4486 486 4486 544 
L 4486 4915 
C 4486 4973 4518 5005 4576 5005 
L 4838 5005 
C 4896 5005 4928 4973 4928 4915 
L 4928 2790 
L 5811 2790 
C 5862 2790 5907 2758 5907 2707 
L 5907 2488 
C 5907 2442 5862 2404 5811 2404 
L 4928 2404 
L 4928 544 
C 4928 486 4896 454 4838 454 
z
M 3053 2161 
C 3053 2572 2675 2880 2163 2880 
C 1658 2880 1274 2572 1274 2161 
C 1274 1749 1658 1428 2163 1428 
C 2675 1428 3053 1749 3053 2161 
z
M 5120 -814 
L 1818 -814 
C 1414 -814 1331 -680 1331 -328 
L 1331 556 
C 1331 613 1363 645 1421 645 
L 1683 645 
C 1741 645 1773 613 1773 556 
L 1773 -302 
C 1773 -424 1799 -430 1920 -430 
L 5120 -430 
C 5165 -430 5216 -462 5216 -507 
L 5216 -737 
C 5216 -788 5165 -814 5120 -814 
z
M 3930 3579 
L 397 3579 
C 352 3579 307 3617 307 3670 
L 307 3875 
C 307 3927 352 3965 397 3965 
L 3930 3965 
C 3994 3965 4026 3939 4026 3882 
L 4026 3662 
C 4026 3605 3994 3579 3930 3579 
z
M 2995 4453 
L 1242 4453 
C 1197 4453 1152 4479 1152 4530 
L 1152 4754 
C 1152 4805 1190 4844 1235 4844 
L 2995 4844 
C 3059 4844 3091 4812 3091 4754 
L 3091 4537 
C 3091 4479 3059 4453 2995 4453 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmc9-c1" d="M 3328 4162 
C 3206 3830 3002 3497 2720 3170 
C 3008 2870 3450 2575 3955 2364 
C 4026 2338 4026 2287 4000 2242 
L 3872 2012 
C 3846 1967 3789 1967 3744 1986 
C 3373 2153 2842 2479 2445 2876 
C 1952 2390 1338 1974 723 1698 
C 678 1679 634 1660 608 1705 
L 480 1929 
C 454 1974 480 2025 525 2044 
C 1626 2575 2406 3241 2842 4137 
C 2899 4258 2854 4303 2733 4303 
L 858 4303 
C 806 4303 781 4329 781 4386 
L 781 4610 
C 781 4662 806 4687 858 4687 
L 2906 4687 
C 3347 4687 3462 4546 3328 4162 
z
M 1517 1213 
L 4666 1213 
C 5069 1213 5152 1078 5152 726 
L 5152 -829 
C 5152 -887 5120 -919 5062 -919 
L 4800 -919 
C 4742 -919 4710 -887 4710 -829 
L 4710 694 
C 4710 816 4685 829 4563 829 
L 1517 829 
C 1472 829 1421 861 1421 905 
L 1421 1136 
C 1421 1187 1472 1213 1517 1213 
z
M 5062 1564 
L 4800 1564 
C 4742 1564 4710 1596 4710 1654 
L 4710 4911 
C 4710 4969 4742 5001 4800 5001 
L 5062 5001 
C 5120 5001 5152 4969 5152 4911 
L 5152 1654 
C 5152 1596 5120 1564 5062 1564 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmc1-20" d="M 2379 4707 
C 2379 4374 2341 4060 2270 3759 
C 2475 3067 3077 2325 3730 2017 
C 3781 1992 3768 1947 3749 1902 
L 3621 1691 
C 3595 1646 3570 1621 3493 1665 
C 3006 1902 2360 2593 2072 3157 
C 1784 2465 1304 1889 664 1473 
C 619 1448 561 1429 529 1473 
L 369 1685 
C 344 1717 363 1781 408 1806 
C 1336 2376 1950 3515 1931 4714 
C 1931 4784 1957 4816 2008 4816 
L 2309 4797 
C 2354 4797 2379 4765 2379 4707 
z
M 4710 3471 
L 4710 4911 
C 4710 4969 4742 5001 4799 5001 
L 5062 5001 
C 5119 5001 5151 4969 5151 4911 
L 5151 828 
C 5151 770 5119 738 5062 738 
L 4799 738 
C 4742 738 4710 770 4710 828 
L 4710 3087 
L 3391 3087 
C 3333 3087 3308 3113 3308 3164 
L 3308 3394 
C 3308 3446 3333 3471 3391 3471 
L 4710 3471 
z
M 5247 -771 
L 2040 -771 
C 1637 -771 1554 -637 1554 -288 
L 1554 956 
C 1554 1013 1586 1045 1643 1045 
L 1906 1045 
C 1963 1045 1995 1013 1995 956 
L 1995 -253 
C 1995 -374 2021 -387 2142 -387 
L 5247 -387 
C 5292 -387 5343 -419 5343 -464 
L 5343 -694 
C 5343 -745 5292 -771 5247 -771 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-79" transform="scale(0.996264)"/>
     <use xlink:href="#nanumgtmcd-95" transform="translate(51.138781 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmc5-d0" transform="translate(144.787552 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmd3-c9" transform="translate(269.665436 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmd5-89" transform="translate(363.314207 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmd5-5c" transform="translate(456.962979 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmc9-c1" transform="translate(581.840863 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmc1-20" transform="translate(675.489634 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="text_3">
    <!-- $5$ -->
    <g transform="translate(185.660042 278.836071) scale(0.2 -0.2)">
     <use xlink:href="#CMR17-35" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_4">
    <!-- $x=5$ -->
    <g transform="translate(190.617265 40.889348) scale(0.2 -0.2)">
     <defs>
      <path id="CMMI12-78" d="M 3034 2606 
C 2829 2567 2752 2414 2752 2293 
C 2752 2139 2874 2088 2963 2088 
C 3155 2088 3290 2254 3290 2427 
C 3290 2695 2982 2816 2714 2816 
C 2323 2816 2106 2433 2048 2312 
C 1901 2816 1504 2816 1389 2816 
C 736 2816 390 1980 390 1839 
C 390 1814 416 1782 461 1782 
C 512 1782 525 1820 538 1846 
C 755 2555 1184 2689 1370 2689 
C 1658 2689 1715 2420 1715 2267 
C 1715 2127 1677 1980 1600 1673 
L 1382 798 
C 1286 415 1101 64 762 64 
C 730 64 570 64 435 147 
C 666 192 717 383 717 460 
C 717 588 621 664 499 664 
C 346 664 179 530 179 326 
C 179 57 480 -64 755 -64 
C 1062 -64 1280 179 1414 441 
C 1517 64 1837 -64 2074 -64 
C 2726 -64 3072 773 3072 913 
C 3072 945 3046 971 3008 971 
C 2950 971 2944 939 2925 888 
C 2752 326 2381 64 2093 64 
C 1869 64 1747 230 1747 492 
C 1747 632 1773 734 1875 1156 
L 2099 2024 
C 2195 2408 2413 2689 2707 2689 
C 2720 2689 2899 2689 3034 2606 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-3d" d="M 4115 2017 
C 4211 2017 4307 2017 4307 2125 
C 4307 2240 4198 2240 4090 2240 
L 512 2240 
C 403 2240 294 2240 294 2125 
C 294 2017 390 2017 486 2017 
L 4115 2017 
z
M 4090 896 
C 4198 896 4307 896 4307 1011 
C 4307 1119 4211 1119 4115 1119 
L 486 1119 
C 390 1119 294 1119 294 1011 
C 294 896 403 896 512 896 
L 4090 896 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-78" transform="scale(0.996264)"/>
     <use xlink:href="#CMR17-3d" transform="translate(83.108068 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-35" transform="translate(182.496865 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="line2d_1">
    <path d="M 180.702819 308.555953 
L 180.702819 11.12255 
" clip-path="url(#p7c418bfc0d)" style="fill: none; stroke: #000000; stroke-width: 1.5; stroke-linecap: square"/>
   </g>
   <g id="matplotlib.axis_1"/>
   <g id="matplotlib.axis_2"/>
   <g id="patch_8">
    <path d="M 56.772234 308.555953 
L 56.772234 11.12255 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_9">
    <path d="M 7.2 258.983719 
L 354.205637 258.983719 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_5">
    <!-- $x$ -->
    <g transform="translate(344.29119 279.804058) scale(0.2 -0.2)">
     <use xlink:href="#CMMI12-78" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_6">
    <!-- $y$ -->
    <g transform="translate(35.951896 21.036997) scale(0.2 -0.2)">
     <use xlink:href="#CMMI12-79" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_7">
    <!-- $\rm O$ -->
    <g transform="translate(35.951896 279.804058) scale(0.2 -0.2)">
     <defs>
      <path id="CMR17-4f" d="M 4307 2135 
C 4307 3437 3366 4416 2304 4416 
C 1216 4416 294 3424 294 2135 
C 294 845 1229 -128 2298 -128 
C 3392 -128 4307 864 4307 2135 
z
M 2304 -13 
C 1574 -13 781 711 781 2217 
C 781 3716 1651 4301 2298 4301 
C 2976 4301 3821 3698 3821 2217 
C 3821 686 3008 -13 2304 -13 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-4f" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p7c418bfc0d">
   <rect x="7.2" y="11.12255" width="347.005637" height="297.433403"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> 일차방정식 y=q(q!=0)의 그래프 </figcaption> 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="362.578002pt" height="315.755953pt" viewBox="0 0 362.578002 315.755953" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2024-12-16T13:22:52.910350</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 315.755953 
L 362.578002 315.755953 
L 362.578002 0 
L 0 0 
L 0 315.755953 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 7.2 308.555953 
L 354.205637 308.555953 
L 354.205637 11.12255 
L 7.2 11.12255 
L 7.2 308.555953 
z
" style="fill: none"/>
   </g>
   <g id="patch_3">
    <path d="M 352.358365 258.983719 
L 342.31884 262.999529 
L 344.326745 258.983719 
L 352.197732 258.983719 
L 352.197732 258.983719 
L 344.326745 258.983719 
L 342.31884 254.967909 
z
"/>
   </g>
   <g id="patch_4">
    <path d="M 56.772234 12.969823 
L 60.788044 23.009347 
L 56.772234 21.001442 
L 56.772234 13.130455 
L 56.772234 13.130455 
L 56.772234 21.001442 
L 52.756424 23.009347 
z
"/>
   </g>
   <g id="patch_5">
    <path d="M 300.502384 106.135998 
C 296.950336 103.027957 292.920325 100.51281 288.567707 98.687519 
C 284.21509 96.862228 279.596526 95.750552 274.890063 95.395348 
" clip-path="url(#p3fdadce5b6)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_6">
    <path d="M 314.54785 130.095911 
C 313.571037 125.478249 311.856115 121.048125 309.469196 116.976322 
C 307.082277 112.904519 304.054431 109.24404 300.502384 106.135998 
" clip-path="url(#p3fdadce5b6)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_7">
    <path d="M 314.650444 130.580901 
L 308.448171 119.225611 
L 312.598564 120.881105 
L 311.983 117.971166 
L 311.983 117.971166 
L 312.598564 120.881105 
L 315.723018 117.686701 
z
" clip-path="url(#p3fdadce5b6)"/>
   </g>
   <g id="text_1">
    <!-- 점 $(0, 3)$을 지나고 -->
    <g transform="translate(155.916702 89.530709) scale(0.15 -0.15)">
     <defs>
      <path id="nanumgtmc8-10" d="M 1497 824 
C 1497 1181 1605 1277 1983 1277 
L 4665 1277 
C 5068 1277 5151 1187 5151 824 
L 5151 -381 
C 5151 -739 5043 -835 4665 -835 
L 1983 -835 
C 1580 -835 1497 -739 1497 -381 
L 1497 824 
z
M 2092 893 
C 1970 893 1938 854 1938 727 
L 1938 -285 
C 1938 -412 1970 -451 2092 -451 
L 4556 -451 
C 4678 -451 4710 -412 4710 -285 
L 4710 727 
C 4710 854 4678 893 4556 893 
L 2092 893 
z
M 3308 4201 
C 3187 3849 2969 3510 2668 3177 
C 2956 2870 3398 2582 3904 2369 
C 3974 2344 3974 2293 3948 2248 
L 3820 2017 
C 3795 1973 3737 1973 3692 1992 
C 3321 2158 2790 2486 2393 2882 
C 1907 2402 1298 1999 703 1737 
C 658 1718 613 1698 588 1743 
L 460 1967 
C 434 2012 460 2063 505 2082 
C 1606 2614 2387 3279 2822 4175 
C 2879 4297 2835 4342 2713 4342 
L 837 4342 
C 786 4342 761 4367 761 4425 
L 761 4649 
C 761 4700 786 4726 837 4726 
L 2886 4726 
C 3328 4726 3443 4585 3308 4201 
z
M 4710 3516 
L 4710 4911 
C 4710 4969 4742 5001 4800 5001 
L 5062 5001 
C 5119 5001 5151 4969 5151 4911 
L 5151 1724 
C 5151 1666 5119 1634 5062 1634 
L 4800 1634 
C 4742 1634 4710 1666 4710 1724 
L 4710 3132 
L 3526 3132 
C 3469 3132 3443 3158 3443 3209 
L 3443 3439 
C 3443 3490 3469 3516 3526 3516 
L 4710 3516 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-28" d="M 1958 -1561 
C 1958 -1555 1958 -1542 1939 -1523 
C 1645 -1224 858 -407 858 1581 
C 858 3569 1632 4379 1946 4697 
C 1946 4704 1958 4717 1958 4736 
C 1958 4755 1939 4768 1914 4768 
C 1843 4768 1299 4296 986 3594 
C 666 2887 576 2199 576 1588 
C 576 1128 621 351 1005 -471 
C 1312 -1135 1837 -1600 1914 -1600 
C 1946 -1600 1958 -1587 1958 -1561 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-3b" d="M 1248 -31 
C 1248 343 1126 619 864 619 
C 659 619 557 453 557 313 
C 557 172 653 0 870 0 
C 954 0 1024 26 1082 83 
C 1094 96 1101 96 1107 96 
C 1120 96 1120 5 1120 -27 
C 1120 -240 1082 -659 710 -1080 
C 640 -1157 640 -1170 640 -1183 
C 640 -1216 672 -1248 704 -1248 
C 755 -1248 1248 -771 1248 -31 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-33" d="M 1414 2157 
C 1984 2157 2234 1662 2234 1090 
C 2234 320 1824 25 1453 25 
C 1114 25 563 194 390 693 
C 422 680 454 680 486 680 
C 640 680 755 782 755 948 
C 755 1133 614 1216 486 1216 
C 378 1216 211 1165 211 926 
C 211 335 787 -128 1466 -128 
C 2176 -128 2720 430 2720 1085 
C 2720 1707 2208 2157 1600 2227 
C 2086 2328 2554 2756 2554 3329 
C 2554 3820 2048 4179 1472 4179 
C 890 4179 378 3829 378 3329 
C 378 3110 544 3072 627 3072 
C 762 3072 877 3155 877 3321 
C 877 3486 762 3569 627 3569 
C 602 3569 570 3569 544 3557 
C 730 3959 1235 4032 1459 4032 
C 1683 4032 2106 3925 2106 3320 
C 2106 3143 2080 2828 1862 2550 
C 1670 2304 1453 2304 1242 2284 
C 1210 2284 1062 2269 1037 2269 
C 992 2263 966 2257 966 2208 
C 966 2163 973 2157 1101 2157 
L 1414 2157 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-29" d="M 1683 1581 
C 1683 2040 1638 2817 1254 3639 
C 947 4303 422 4768 346 4768 
C 326 4768 301 4761 301 4729 
C 301 4717 307 4710 314 4697 
C 621 4378 1402 3568 1402 1584 
C 1402 -407 627 -1217 314 -1537 
C 307 -1549 301 -1556 301 -1568 
C 301 -1600 326 -1600 346 -1600 
C 416 -1600 960 -1128 1274 -426 
C 1594 281 1683 969 1683 1581 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmc7-44" d="M 3002 2874 
C 2195 2874 1037 3078 1037 3974 
C 1037 4858 2195 5069 3002 5069 
C 3840 5069 4966 4870 4966 3974 
C 4966 3078 3821 2874 3002 2874 
z
M 3002 4678 
C 2458 4678 1504 4570 1504 3968 
C 1504 3373 2458 3264 3002 3264 
C 3546 3264 4499 3373 4499 3968 
C 4499 4570 3533 4678 3002 4678 
z
M 5824 2410 
L 5824 2192 
C 5824 2148 5773 2109 5728 2109 
L 288 2109 
C 237 2109 192 2148 192 2192 
L 192 2410 
C 192 2461 237 2493 288 2493 
L 5728 2493 
C 5773 2493 5824 2461 5824 2410 
z
M 5056 -767 
C 5056 -812 5005 -844 4973 -844 
L 1568 -844 
C 1165 -844 1082 -710 1082 -355 
L 1082 103 
C 1082 458 1210 553 1594 553 
L 4346 553 
C 4467 553 4486 573 4486 702 
L 4486 1064 
C 4486 1194 4474 1213 4352 1213 
L 1158 1213 
C 1114 1213 1069 1239 1069 1284 
L 1069 1508 
C 1069 1552 1114 1578 1158 1578 
L 4416 1578 
C 4819 1578 4922 1475 4922 1109 
L 4922 645 
C 4922 285 4794 189 4410 189 
L 1651 189 
C 1530 189 1517 169 1517 44 
L 1517 -327 
C 1517 -447 1536 -472 1658 -472 
L 4966 -472 
C 5011 -472 5056 -498 5056 -543 
L 5056 -767 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmc9-c0" d="M 3827 859 
C 3802 814 3770 801 3699 852 
C 3283 1166 2771 1671 2413 2151 
C 1984 1614 1446 1134 749 647 
C 704 622 659 603 634 635 
L 480 833 
C 448 878 461 929 493 955 
C 1856 1921 2586 2894 2886 3968 
C 2918 4090 2899 4141 2778 4141 
L 838 4141 
C 787 4141 762 4166 762 4224 
L 762 4448 
C 762 4499 794 4525 851 4525 
L 2950 4525 
C 3392 4525 3494 4390 3373 4000 
C 3206 3456 2970 2950 2669 2496 
C 3066 1947 3565 1415 3962 1159 
C 4006 1127 4000 1076 3974 1044 
L 3827 859 
z
M 5062 -896 
L 4800 -896 
C 4742 -896 4710 -864 4710 -806 
L 4710 4915 
C 4710 4973 4742 5005 4800 5005 
L 5062 5005 
C 5120 5005 5152 4973 5152 4915 
L 5152 -806 
C 5152 -864 5120 -896 5062 -896 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmb0-98" d="M 4839 -896 
L 4577 -896 
C 4519 -896 4487 -864 4487 -806 
L 4487 4915 
C 4487 4973 4519 5005 4577 5005 
L 4839 5005 
C 4897 5005 4929 4973 4929 4915 
L 4929 2586 
L 5812 2586 
C 5863 2586 5908 2554 5908 2502 
L 5908 2285 
C 5908 2240 5863 2202 5812 2202 
L 4929 2202 
L 4929 -806 
C 4929 -864 4897 -896 4839 -896 
z
M 1313 1274 
C 2132 1248 3060 1363 3860 1517 
C 3931 1536 3975 1510 3988 1440 
L 4020 1261 
C 4033 1203 4007 1165 3937 1146 
C 3310 992 1998 858 1223 877 
C 839 883 718 1050 718 1408 
L 718 4558 
C 718 4615 750 4647 807 4647 
L 1070 4647 
C 1127 4647 1159 4615 1159 4558 
L 1159 1440 
C 1159 1312 1191 1280 1313 1274 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmac-e0" d="M 5824 426 
L 5824 208 
C 5824 164 5773 125 5728 125 
L 288 125 
C 237 125 192 164 192 208 
L 192 426 
C 192 477 237 509 288 509 
L 2566 509 
L 2566 2461 
C 2566 2511 2598 2556 2650 2556 
L 2925 2556 
C 2970 2556 3008 2511 3008 2461 
L 3008 509 
L 5728 509 
C 5773 509 5824 477 5824 426 
z
M 1094 4549 
L 4506 4549 
C 4915 4549 4973 4389 4992 4037 
C 5011 3333 4954 2245 4781 1375 
C 4774 1324 4736 1272 4685 1279 
L 4429 1298 
C 4358 1304 4333 1343 4352 1413 
C 4506 2079 4608 3468 4557 4031 
C 4538 4152 4531 4165 4410 4165 
L 1094 4165 
C 1050 4165 998 4197 998 4242 
L 998 4472 
C 998 4524 1050 4549 1094 4549 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#nanumgtmc8-10" transform="scale(0.996264)"/>
     <use xlink:href="#CMR17-28" transform="translate(124.877884 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-30" transform="translate(160.158652 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-3b" transform="translate(205.849129 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-33" transform="translate(249.550711 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(295.241188 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmc7-44" transform="translate(330.521956 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmc9-c0" transform="translate(455.39984 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmb0-98" transform="translate(549.048612 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmac-e0" transform="translate(642.697383 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $x$축에 평행한 직선 -->
    <g transform="translate(155.916702 114.33262) scale(0.15 -0.15)">
     <defs>
      <path id="CMMI12-78" d="M 3034 2606 
C 2829 2567 2752 2414 2752 2293 
C 2752 2139 2874 2088 2963 2088 
C 3155 2088 3290 2254 3290 2427 
C 3290 2695 2982 2816 2714 2816 
C 2323 2816 2106 2433 2048 2312 
C 1901 2816 1504 2816 1389 2816 
C 736 2816 390 1980 390 1839 
C 390 1814 416 1782 461 1782 
C 512 1782 525 1820 538 1846 
C 755 2555 1184 2689 1370 2689 
C 1658 2689 1715 2420 1715 2267 
C 1715 2127 1677 1980 1600 1673 
L 1382 798 
C 1286 415 1101 64 762 64 
C 730 64 570 64 435 147 
C 666 192 717 383 717 460 
C 717 588 621 664 499 664 
C 346 664 179 530 179 326 
C 179 57 480 -64 755 -64 
C 1062 -64 1280 179 1414 441 
C 1517 64 1837 -64 2074 -64 
C 2726 -64 3072 773 3072 913 
C 3072 945 3046 971 3008 971 
C 2950 971 2944 939 2925 888 
C 2752 326 2381 64 2093 64 
C 1869 64 1747 230 1747 492 
C 1747 632 1773 734 1875 1156 
L 2099 2024 
C 2195 2408 2413 2689 2707 2689 
C 2720 2689 2899 2689 3034 2606 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmcd-95" d="M 1043 893 
L 2778 893 
L 2778 1597 
L 288 1597 
C 237 1597 192 1636 192 1680 
L 192 1898 
C 192 1949 237 1981 288 1981 
L 5728 1981 
C 5773 1981 5824 1949 5824 1898 
L 5824 1680 
C 5824 1636 5773 1597 5728 1597 
L 3219 1597 
L 3219 893 
L 4442 893 
C 4845 893 4928 759 4928 407 
L 4928 -860 
C 4928 -918 4896 -950 4838 -950 
L 4576 -950 
C 4518 -950 4486 -918 4486 -860 
L 4486 375 
C 4486 496 4461 509 4339 509 
L 1043 509 
C 998 509 947 541 947 586 
L 947 816 
C 947 868 998 893 1043 893 
z
M 4403 3615 
C 4179 3442 3904 3296 3578 3148 
C 4058 3014 4640 2893 5146 2823 
C 5216 2804 5222 2785 5203 2727 
L 5146 2510 
C 5133 2466 5101 2446 5043 2459 
C 4493 2542 3661 2733 3015 2919 
C 2426 2695 1741 2522 998 2394 
C 934 2381 896 2394 877 2439 
L 800 2657 
C 781 2701 813 2740 864 2759 
C 2112 2996 2989 3295 3834 3697 
C 3981 3766 3955 3837 3821 3837 
L 1274 3837 
C 1216 3837 1190 3862 1190 3920 
L 1190 4144 
C 1190 4195 1216 4221 1274 4221 
L 4038 4221 
C 4704 4221 4870 3953 4403 3615 
z
M 3910 4912 
L 3910 4707 
C 3910 4643 3878 4611 3814 4611 
L 2131 4611 
C 2067 4611 2035 4643 2035 4707 
L 2035 4912 
C 2035 4970 2067 5002 2131 5002 
L 3814 5002 
C 3878 5002 3910 4970 3910 4912 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmc5-d0" d="M 4230 -563 
C 4230 -621 4198 -653 4140 -653 
L 3897 -653 
C 3839 -653 3807 -621 3807 -563 
L 3807 2419 
L 3083 2419 
C 3013 1242 2431 659 1707 659 
C 946 659 370 1318 370 2643 
C 370 3974 952 4608 1714 4608 
C 2450 4608 3032 4032 3083 2803 
L 3807 2803 
L 3807 4806 
C 3807 4864 3839 4896 3897 4896 
L 4140 4896 
C 4198 4896 4230 4864 4230 4806 
L 4230 -563 
z
M 2642 2643 
C 2642 3424 2341 4224 1707 4224 
C 1042 4224 818 3392 818 2643 
C 818 1894 1074 1043 1707 1043 
C 2341 1043 2642 1869 2642 2643 
z
M 5361 -806 
C 5361 -864 5329 -896 5271 -896 
L 5028 -896 
C 4970 -896 4938 -864 4938 -806 
L 4938 4915 
C 4938 4973 4970 5005 5028 5005 
L 5271 5005 
C 5329 5005 5361 4973 5361 4915 
L 5361 -806 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmd3-c9" d="M 5203 257 
C 5203 -475 4365 -908 3347 -908 
C 2246 -908 1498 -475 1498 257 
C 1498 969 2246 1408 3347 1408 
C 4365 1408 5203 982 5203 257 
z
M 3629 4349 
L 3098 4349 
L 3098 2317 
C 3373 2336 3635 2362 3885 2406 
C 3962 2426 3974 2413 3994 2355 
L 4032 2144 
C 4038 2093 4032 2074 3949 2054 
C 3462 1971 2842 1939 2221 1907 
C 1747 1875 934 1869 435 1888 
C 384 1888 339 1926 339 1971 
L 339 2176 
C 339 2227 384 2259 435 2259 
L 1171 2259 
L 1171 4349 
L 480 4349 
C 435 4349 390 4387 390 4438 
L 390 4637 
C 390 4688 435 4726 480 4726 
L 3629 4726 
C 3693 4726 3725 4701 3725 4643 
L 3725 4432 
C 3725 4374 3693 4349 3629 4349 
z
M 4749 237 
C 4749 739 4083 1024 3341 1024 
C 2522 1024 1952 739 1952 237 
C 1952 -250 2522 -524 3341 -524 
C 4083 -524 4749 -250 4749 237 
z
M 4710 4096 
L 4710 4918 
C 4710 4976 4742 5008 4800 5008 
L 5062 5008 
C 5120 5008 5152 4976 5152 4918 
L 5152 1555 
C 5152 1498 5120 1466 5062 1466 
L 4800 1466 
C 4742 1466 4710 1498 4710 1555 
L 4710 2688 
L 3731 2688 
C 3674 2688 3648 2714 3648 2765 
L 3648 2989 
C 3648 3040 3674 3066 3731 3066 
L 4710 3066 
L 4710 3718 
L 3731 3718 
C 3674 3718 3648 3744 3648 3795 
L 3648 4019 
C 3648 4070 3674 4096 3731 4096 
L 4710 4096 
z
M 2208 2278 
C 2362 2278 2515 2285 2662 2291 
L 2662 4349 
L 1606 4349 
L 1606 2266 
C 1830 2272 2035 2272 2208 2278 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmd5-89" d="M 5382 69 
C 5382 -562 4448 -905 3431 -905 
C 2323 -905 1485 -562 1485 69 
C 1485 680 2323 1030 3431 1030 
C 4448 1030 5382 687 5382 69 
z
M 3053 2427 
C 3053 1914 2611 1414 1837 1414 
C 1050 1414 621 1914 621 2427 
C 621 2951 1050 3431 1837 3431 
C 2611 3431 3053 2939 3053 2427 
z
M 4128 3303 
L 4941 3303 
L 4941 4915 
C 4941 4973 4973 5005 5030 5005 
L 5274 5005 
C 5331 5005 5363 4973 5363 4915 
L 5363 1306 
C 5363 1248 5331 1216 5274 1216 
L 5030 1216 
C 4973 1216 4941 1248 4941 1306 
L 4941 2918 
L 4128 2918 
L 4128 1504 
C 4128 1446 4096 1414 4038 1414 
L 3795 1414 
C 3738 1414 3706 1446 3706 1504 
L 3706 4806 
C 3706 4864 3738 4896 3795 4896 
L 4038 4896 
C 4096 4896 4128 4864 4128 4806 
L 4128 3303 
z
M 4934 50 
C 4934 476 4154 672 3424 672 
C 2618 672 1933 476 1933 50 
C 1933 -357 2618 -547 3424 -547 
C 4154 -547 4934 -357 4934 50 
z
M 2643 2426 
C 2643 2778 2374 3066 1837 3066 
C 1299 3066 1030 2784 1030 2426 
C 1030 2086 1299 1779 1837 1779 
C 2374 1779 2643 2086 2643 2426 
z
M 3155 3719 
L 474 3719 
C 429 3719 384 3758 384 3809 
L 384 4013 
C 384 4065 429 4103 474 4103 
L 3155 4103 
C 3219 4103 3251 4078 3251 4020 
L 3251 3803 
C 3251 3745 3219 3719 3155 3719 
z
M 2515 4480 
L 1152 4480 
C 1107 4480 1062 4512 1062 4563 
L 1062 4781 
C 1062 4833 1101 4871 1146 4871 
L 2515 4871 
C 2579 4871 2611 4839 2611 4782 
L 2611 4570 
C 2611 4512 2579 4480 2515 4480 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmd5-5c" d="M 3488 2161 
C 3488 1538 2912 1037 2163 1037 
C 1408 1037 845 1538 845 2161 
C 845 2776 1408 3271 2163 3271 
C 2912 3271 3488 2776 3488 2161 
z
M 4838 454 
L 4576 454 
C 4518 454 4486 486 4486 544 
L 4486 4915 
C 4486 4973 4518 5005 4576 5005 
L 4838 5005 
C 4896 5005 4928 4973 4928 4915 
L 4928 2790 
L 5811 2790 
C 5862 2790 5907 2758 5907 2707 
L 5907 2488 
C 5907 2442 5862 2404 5811 2404 
L 4928 2404 
L 4928 544 
C 4928 486 4896 454 4838 454 
z
M 3053 2161 
C 3053 2572 2675 2880 2163 2880 
C 1658 2880 1274 2572 1274 2161 
C 1274 1749 1658 1428 2163 1428 
C 2675 1428 3053 1749 3053 2161 
z
M 5120 -814 
L 1818 -814 
C 1414 -814 1331 -680 1331 -328 
L 1331 556 
C 1331 613 1363 645 1421 645 
L 1683 645 
C 1741 645 1773 613 1773 556 
L 1773 -302 
C 1773 -424 1799 -430 1920 -430 
L 5120 -430 
C 5165 -430 5216 -462 5216 -507 
L 5216 -737 
C 5216 -788 5165 -814 5120 -814 
z
M 3930 3579 
L 397 3579 
C 352 3579 307 3617 307 3670 
L 307 3875 
C 307 3927 352 3965 397 3965 
L 3930 3965 
C 3994 3965 4026 3939 4026 3882 
L 4026 3662 
C 4026 3605 3994 3579 3930 3579 
z
M 2995 4453 
L 1242 4453 
C 1197 4453 1152 4479 1152 4530 
L 1152 4754 
C 1152 4805 1190 4844 1235 4844 
L 2995 4844 
C 3059 4844 3091 4812 3091 4754 
L 3091 4537 
C 3091 4479 3059 4453 2995 4453 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmc9-c1" d="M 3328 4162 
C 3206 3830 3002 3497 2720 3170 
C 3008 2870 3450 2575 3955 2364 
C 4026 2338 4026 2287 4000 2242 
L 3872 2012 
C 3846 1967 3789 1967 3744 1986 
C 3373 2153 2842 2479 2445 2876 
C 1952 2390 1338 1974 723 1698 
C 678 1679 634 1660 608 1705 
L 480 1929 
C 454 1974 480 2025 525 2044 
C 1626 2575 2406 3241 2842 4137 
C 2899 4258 2854 4303 2733 4303 
L 858 4303 
C 806 4303 781 4329 781 4386 
L 781 4610 
C 781 4662 806 4687 858 4687 
L 2906 4687 
C 3347 4687 3462 4546 3328 4162 
z
M 1517 1213 
L 4666 1213 
C 5069 1213 5152 1078 5152 726 
L 5152 -829 
C 5152 -887 5120 -919 5062 -919 
L 4800 -919 
C 4742 -919 4710 -887 4710 -829 
L 4710 694 
C 4710 816 4685 829 4563 829 
L 1517 829 
C 1472 829 1421 861 1421 905 
L 1421 1136 
C 1421 1187 1472 1213 1517 1213 
z
M 5062 1564 
L 4800 1564 
C 4742 1564 4710 1596 4710 1654 
L 4710 4911 
C 4710 4969 4742 5001 4800 5001 
L 5062 5001 
C 5120 5001 5152 4969 5152 4911 
L 5152 1654 
C 5152 1596 5120 1564 5062 1564 
z
" transform="scale(0.015625)"/>
      <path id="nanumgtmc1-20" d="M 2379 4707 
C 2379 4374 2341 4060 2270 3759 
C 2475 3067 3077 2325 3730 2017 
C 3781 1992 3768 1947 3749 1902 
L 3621 1691 
C 3595 1646 3570 1621 3493 1665 
C 3006 1902 2360 2593 2072 3157 
C 1784 2465 1304 1889 664 1473 
C 619 1448 561 1429 529 1473 
L 369 1685 
C 344 1717 363 1781 408 1806 
C 1336 2376 1950 3515 1931 4714 
C 1931 4784 1957 4816 2008 4816 
L 2309 4797 
C 2354 4797 2379 4765 2379 4707 
z
M 4710 3471 
L 4710 4911 
C 4710 4969 4742 5001 4799 5001 
L 5062 5001 
C 5119 5001 5151 4969 5151 4911 
L 5151 828 
C 5151 770 5119 738 5062 738 
L 4799 738 
C 4742 738 4710 770 4710 828 
L 4710 3087 
L 3391 3087 
C 3333 3087 3308 3113 3308 3164 
L 3308 3394 
C 3308 3446 3333 3471 3391 3471 
L 4710 3471 
z
M 5247 -771 
L 2040 -771 
C 1637 -771 1554 -637 1554 -288 
L 1554 956 
C 1554 1013 1586 1045 1643 1045 
L 1906 1045 
C 1963 1045 1995 1013 1995 956 
L 1995 -253 
C 1995 -374 2021 -387 2142 -387 
L 5247 -387 
C 5292 -387 5343 -419 5343 -464 
L 5343 -694 
C 5343 -745 5292 -771 5247 -771 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-78" transform="scale(0.996264)"/>
     <use xlink:href="#nanumgtmcd-95" transform="translate(55.43406 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmc5-d0" transform="translate(149.082831 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmd3-c9" transform="translate(273.960715 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmd5-89" transform="translate(367.609486 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmd5-5c" transform="translate(461.258258 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmc9-c1" transform="translate(586.136142 0) scale(0.996264)"/>
     <use xlink:href="#nanumgtmc1-20" transform="translate(679.784913 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="text_3">
    <!-- $3$ -->
    <g transform="translate(41.900564 154.905486) scale(0.2 -0.2)">
     <use xlink:href="#CMR17-33" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_4">
    <!-- $y=3$ -->
    <g transform="translate(294.718956 149.948263) scale(0.2 -0.2)">
     <defs>
      <path id="CMMI12-79" d="M 1683 -700 
C 1510 -939 1261 -1152 947 -1152 
C 870 -1152 563 -1152 467 -889 
C 486 -895 518 -895 531 -895 
C 723 -895 851 -729 851 -582 
C 851 -435 730 -384 634 -384 
C 531 -384 307 -458 307 -759 
C 307 -1071 582 -1286 947 -1286 
C 1587 -1286 2234 -700 2413 6 
L 3040 2485 
C 3046 2517 3059 2556 3059 2594 
C 3059 2689 2982 2753 2886 2753 
C 2829 2753 2694 2727 2643 2535 
L 2170 658 
C 2138 543 2138 530 2086 460 
C 1958 281 1747 64 1440 64 
C 1082 64 1050 415 1050 588 
C 1050 952 1222 1443 1395 1903 
C 1466 2088 1504 2178 1504 2305 
C 1504 2574 1312 2816 998 2816 
C 410 2816 173 1890 173 1839 
C 173 1814 198 1782 243 1782 
C 301 1782 307 1807 333 1897 
C 486 2433 730 2689 979 2689 
C 1037 2689 1146 2689 1146 2478 
C 1146 2312 1075 2127 979 1884 
C 666 1047 666 837 666 683 
C 666 77 1101 -64 1421 -64 
C 1606 -64 1837 -6 2061 230 
L 2067 224 
C 1971 -147 1907 -392 1683 -700 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-3d" d="M 4115 2017 
C 4211 2017 4307 2017 4307 2125 
C 4307 2240 4198 2240 4090 2240 
L 512 2240 
C 403 2240 294 2240 294 2125 
C 294 2017 390 2017 486 2017 
L 4115 2017 
z
M 4090 896 
C 4198 896 4307 896 4307 1011 
C 4307 1119 4211 1119 4115 1119 
L 486 1119 
C 390 1119 294 1119 294 1011 
C 294 896 403 896 512 896 
L 4090 896 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-79" transform="scale(0.996264)"/>
     <use xlink:href="#CMR17-3d" transform="translate(78.812789 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-33" transform="translate(178.201587 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="line2d_1">
    <path d="M 7.2 159.839252 
L 354.205637 159.839252 
" clip-path="url(#p3fdadce5b6)" style="fill: none; stroke: #000000; stroke-width: 1.5; stroke-linecap: square"/>
   </g>
   <g id="matplotlib.axis_1"/>
   <g id="matplotlib.axis_2"/>
   <g id="patch_8">
    <path d="M 56.772234 308.555953 
L 56.772234 11.12255 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_9">
    <path d="M 7.2 258.983719 
L 354.205637 258.983719 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_5">
    <!-- $x$ -->
    <g transform="translate(344.29119 279.804058) scale(0.2 -0.2)">
     <use xlink:href="#CMMI12-78" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_6">
    <!-- $y$ -->
    <g transform="translate(35.951896 21.036997) scale(0.2 -0.2)">
     <use xlink:href="#CMMI12-79" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_7">
    <!-- $\rm O$ -->
    <g transform="translate(35.951896 279.804058) scale(0.2 -0.2)">
     <defs>
      <path id="CMR17-4f" d="M 4307 2135 
C 4307 3437 3366 4416 2304 4416 
C 1216 4416 294 3424 294 2135 
C 294 845 1229 -128 2298 -128 
C 3392 -128 4307 864 4307 2135 
z
M 2304 -13 
C 1574 -13 781 711 781 2217 
C 781 3716 1651 4301 2298 4301 
C 2976 4301 3821 3698 3821 2217 
C 3821 686 3008 -13 2304 -13 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-4f" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p3fdadce5b6">
   <rect x="7.2" y="11.12255" width="347.005637" height="297.433403"/>
  </clipPath>
 </defs>
</svg>
'
일차방정식 의 그래프는 축, 일차방정식 의 그래프는 축과 ​ ​ ​ ​ ​ ​ [6] 한다.

  1. 와 의 값의 범위가 수 전체일 때, 일차방정식
(단, , , 는 수, 또는 )
을 ​ ​ ​ ​ ​ ​ ​ ​ ​ [7] 이라고 한다.
  6. 일치 ↩︎
  7. 직선의 방정식 ↩︎