CAYLEY 2001 Problem 21

Point P is on the line y=5x+3. The coordinates of point Q are (3,-2). If M is the midpoint of PQ, then M must lie on the line

Answer Choices
A. y=\frac52x-\frac72
B. y=5x+1
C. y=-\frac15x-\frac75
D. y=\frac52x+\frac12
E. y=5x-7