Step 1: Let's recall the formula for the midpoint of a line segment, knowing the endpoints.
Step 2: Replacing with the values we know, we have then:
Midpoint = (7 + -3/2, -8 + 0/2)
Midpoint = (4/2, -8/2)
Midpoint = (2, -4)
Step 3: The coordinates of the midpoint M are (2, -4)