{"status": "success", "data": {"description_md": "A piece of cheese is located at $(12,10)$ in a [[coordinate plane]]. A mouse is at $(4,-2)$ and is running up the [[line]] $y=-5x+18$. At the point $(a,b)$ the mouse starts getting farther from the cheese rather than closer to it. What is  $a+b$?\n\n$\\mathrm{(A)}\\ 6\\qquad \\mathrm{(B)}\\ 10\\qquad \\mathrm{(C)}\\ 14\\qquad \\mathrm{(D)}\\ 18\\qquad \\mathrm{(E)}\\ 22$\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>A piece of cheese is located at  <span class=\"katex--inline\">(12,10)</span>  in a [[coordinate plane]]. A mouse is at  <span class=\"katex--inline\">(4,-2)</span>  and is running up the [[line]]  <span class=\"katex--inline\">y=-5x+18</span> . At the point  <span class=\"katex--inline\">(a,b)</span>  the mouse starts getting farther from the cheese rather than closer to it. What is   <span class=\"katex--inline\">a+b</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 6\\qquad \\mathrm{(B)}\\ 10\\qquad \\mathrm{(C)}\\ 14\\qquad \\mathrm{(D)}\\ 18\\qquad \\mathrm{(E)}\\ 22</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": "2007 AMC 12A Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc12A_p14", "prev": "/problem/07_amc12A_p12"}}