{"status": "success", "data": {"description_md": "Let $S$ be the set of points $(a,b)$ in the coordinate plane, where each of $a$ and $b$ may be $- 1$, $0$, or $1$. How many distinct lines pass through at least two members of $S$?\n\n$\\text {(A) } 8 \\qquad \\text {(B) } 20 \\qquad \\text {(C) } 24 \\qquad \\text {(D) } 27\\qquad \\text {(E) }36$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Let  <span class=\"katex--inline\">S</span>  be the set of points  <span class=\"katex--inline\">(a,b)</span>  in the coordinate plane, where each of  <span class=\"katex--inline\">a</span>  and  <span class=\"katex--inline\">b</span>  may be  <span class=\"katex--inline\">- 1</span> ,  <span class=\"katex--inline\">0</span> , or  <span class=\"katex--inline\">1</span> . How many distinct lines pass through at least two members of  <span class=\"katex--inline\">S</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\text {(A) } 8 \\qquad \\text {(B) } 20 \\qquad \\text {(C) } 24 \\qquad \\text {(D) } 27\\qquad \\text {(E) }36</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2004 AMC 12A Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/04_amc12A_p14", "prev": "/problem/04_amc12A_p12"}}