{"status": "success", "data": {"description_md": "A line with slope equal to 1 and a line with slope equal to 2 intersect at the point $P(1,6)$, as shown. The area of $\\triangle PQR$ is\n\n<center><img class=\"problem-image\" src=\"/static/cayley/2009/crops/09_cayley_p18_fig.png\" alt=\"figure\" width=\"286\"></center>\n\n$\\text{(A)}\\ 6\\qquad\\text{(B)}\\ 9\\qquad\\text{(C)}\\ 12\\qquad\\text{(D)}\\ 15\\qquad\\text{(E)}\\ 18$\n\n___\n\n**[Cayley](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>A line with slope equal to 1 and a line with slope equal to 2 intersect at the point <span class=\"katex--inline\">P(1,6)</span>, as shown. The area of <span class=\"katex--inline\">\\triangle PQR</span> is</p>\n<center><img class=\"problem-image\" src=\"/static/cayley/2009/crops/09_cayley_p18_fig.png\" alt=\"figure\" width=\"286\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 6\\qquad\\text{(B)}\\ 9\\qquad\\text{(C)}\\ 12\\qquad\\text{(D)}\\ 15\\qquad\\text{(E)}\\ 18</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Cayley</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2009 Cayley Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/09_cayley_p19", "prev": "/problem/09_cayley_p17"}}