Line \ell_{1} has equation 3 x-2 y=1 and goes through A=(-1,-2). Line \ell_{2} has equation y=1 and meets line \ell_{1} at point B. Line \ell_{3} has positive slope, goes through point A, and meets \ell_{2} at point C. The area of \triangle A B C is 3 . What is the slope of \ell_{3} ?
Answer Choices
A. \dfrac{2}{3}
B. \dfrac{3}{4}
C. 1
D. \dfrac{4}{3}
E. \dfrac{3}{2}