We need to find the midpoint using the endpoints provided in the problem. This can be done using the formula of midpoint as follows:
(x1 + x2) / 2 , (y1 + y2) / 2
where the left side of the comma represents the x-coordinate, and the right side represents the y-coordinate. Given the endpoints, we can set up equations to identify the coordinates of the midpoint:
x = (5 + 8) / 2
x = 13 / 2
x = 6.5
y = (6 + 2) / 2
y = 8 / 2
y = 4
Hence, the coordinates for the midpoint of the segment are (6.5, 4).