{"status": "success", "data": {"description_md": "All lines with equation $ax+by=c$ such that $a,b,c$ form an arithmetic progression pass through a common point. What are the coordinates of that point?\n\n$\\textbf{(A) } (-1,2)\n\\qquad\\textbf{(B) } (0,1)\n\\qquad\\textbf{(C) } (1,-2)\n\\qquad\\textbf{(D) } (1,0)\n\\qquad\\textbf{(E) } (1,2)$", "description_html": "<p>All lines with equation  <span class=\"katex--inline\">ax+by=c</span>  such that  <span class=\"katex--inline\">a,b,c</span>  form an arithmetic progression pass through a common point. What are the coordinates of that point?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } (-1,2)\n\\qquad\\textbf{(B) } (0,1)\n\\qquad\\textbf{(C) } (1,-2)\n\\qquad\\textbf{(D) } (1,0)\n\\qquad\\textbf{(E) } (1,2)</span> </p>\n<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": 1, "problem_name": "2019 AMC 10B Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/19_amc10B_p05", "prev": "/problem/19_amc10B_p03"}}