1971 AHSME Problem 3

If the point (x,-4) lies on the straight line joining the points (0,8) and (-4,0) in the xy-plane, then x is equal to

\textbf{(A) }-2\qquad \textbf{(B) }2\qquad \textbf{(C) }-8\qquad \textbf{(D) }6\qquad \textbf{(E) }-6

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