We want to find the midpoint between the points (15,−17) and (−8,−8):
We have that its location is (x, y).
We only find the average of each variable of the points:
Its location on x is the average of the x values of the two given points: 15 and -8
[tex]\frac{15-8}{2}=\frac{7}{2}[/tex]Its location on y is the average of the y values of the two given points: -17 and -8
[tex]\frac{-17-8}{2}=\frac{-25}{2}[/tex]Then, we have that
x=7/2
and
y=-25/2
Then, the midpoint's location is
(x, y) = (7/2,-25/2)
Answer: C