Step-by-step explanation:
M is the midpoint of AB. First, find the coordinates of M.
M = ((4 + 0) / 2, (2 + 4) / 2)
M = (2, 3)
Now find the slope of MC:
m = (15 − 3) / (8 − 2)
m = 12 / 6
m = 2
Find the slope of AB:
m = (4 − 2) / (0 − 4)
m = 2 / -4
m = -1/2
The slopes are opposite inverses, so the two are indeed perpendicular.
