AHSME 1970 Problem 15

Lines in the $xy$-plane are drawn through the point $(3,4)$ and the trisection points of the line segment joining the points $(-4,5)$ and $(5,-1)$. One of these lines has the equation $\text{(A) } 3x-2y-1=0 \text{(B) } 4x-5y+8=0 \text{(C) } 5x+2y-23=0 \\ \text{(D) } x+7y-31=0 \text{(E) } x-4y+13=0$