1992 AHSME Problem 3

If m>0 and the points (m,3) and (1,m) lie on a line with slope m, then m=

\text{(A) } 1\quad \text{(B) } \sqrt{2}\quad \text{(C) } \sqrt{3}\quad \text{(D) } 2\quad \text{(E) } \sqrt{5}

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