{"status": "success", "data": {"description_md": "Line $l_1$ has equation $3x - 2y = 1$ and goes through $A = (-1, -2)$. Line $l_2$ has equation $y = 1$ and meets line $l_1$ at point $B$. Line $l_3$ has positive slope, goes through point $A$, and meets $l_2$ at point $C$. The area of $\\triangle ABC$ is $3$. What is the slope of $l_3$?\n\n$\\textbf{(A)}\\ \\frac{2}{3} \\qquad \\textbf{(B)}\\ \\frac{3}{4} \\qquad \\textbf{(C)}\\ 1 \\qquad \\textbf{(D)}\\ \\frac{4}{3} \\qquad \\textbf{(E)}\\ \\frac{3}{2}$\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": "

Line l_1 has equation 3x - 2y = 1 and goes through A = (-1, -2) . Line l_2 has equation y = 1 and meets line l_1 at point B . Line l_3 has positive slope, goes through point A , and meets l_2 at point C . The area of \\triangle ABC is 3 . What is the slope of l_3 ?

\\textbf{(A)}\\ \\frac{2}{3} \\qquad \\textbf{(B)}\\ \\frac{3}{4} \\qquad \\textbf{(C)}\\ 1 \\qquad \\textbf{(D)}\\ \\frac{4}{3} \\qquad \\textbf{(E)}\\ \\frac{3}{2}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2013 AMC 12B Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc12B_p09", "prev": "/problem/13_amc12B_p07"}}