To find the midpoint of a line segment, we can use the midpoint formula:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Using the given endpoints (-4, 8) and (6, 4), we can plug in the values into the formula:
Midpoint = ((-4 + 6)/2, (8 + 4)/2)
Midpoint = (2/2, 12/2)
Midpoint = (1, 6)
Therefore, the midpoint of the segment with the given endpoints is (1, 6).