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?
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?