We are asked to find the coordinates of the midpoint of segment AB wuth endpoints: A = (3, -8) and B= (-15, -8)
We recall the formula for the x and y coordinates of the midpoint as:
xm = x1 + (x2 - x1) / 2
ym = y1 + (y2 - y1) / 2
the using the given endpoints we get:
xm = -15 + (3 - - 15) / 2 = - 15 + 18/2 = - 15 + 9 = -6
for the y coordinate of the midpoint we et:
ym = - 8 + (-8 - -8) / 2 = - 8 + 0 = -8
Then the coordinates of the midpoint are: (-6, -8)
which agrees with the third option listed in the list of possible answers.