Question

what is the midpoint of the segment joining the points (4,-2)and (-8,6) please show in steps how you got it

Answer 1

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 = $( \frac{x1+x2}{2} , \frac{y1+y2}{2})$,
where the given points are (x1, y1) and x2, y2).

In the problem, you have (4, -2) and (-8, 6).
The midpoint will be
$( \frac{4-8}{2} , \frac{-2+6}{2})=( -2, 2)$