=================================================
Explanation:
Point B is at the location (x, y)
The x coordinates of A and B are 3 and x respectively. Add them up, divide in half, and set the result equal to the x coordinate of M which is 5
(3+x)/2 = 5
3+x = 2*5
3+x = 10
x = 10-3
x = 7 which is the x coordinate of point B
Repeat this same idea for the y coordinates.
(8+y)/2 = 6
8+y = 2*6
8+y = 12
y = 12-8
y = 4
Therefore, point B is located at (x,y) = (7, 4)
Visual verification is shown below. You could also use the midpoint formula on segment AB to find that M = (5,6) is the midpoint.
