The x-coordinate of the midpoint will be the average of the two given x-coordinates, and the y-coordinate will be the average of the two given y-coordinates.
This can be written as
midpoint = [tex]( \frac{x1+x2}{2} , \frac{y1+y2}{2}) [/tex],
where the given points are (x1, y1) and x2, y2).
In the problem, you have (4, -2) and (-8, 6).
The midpoint will be
[tex]( \frac{4-8}{2} , \frac{-2+6}{2})=( -2, 2) [/tex]