If the coordinates of the midpoint of the line segment with end points (a, 4) and (3, b) are (5, -2), find the values of a and b.

2 answers

(a + 3) / 2 = 5

(b + 4) / 2 = -2
(a,4), (5,-2), (3,b).

5-a = (3-a)/2.
10-2a = 3 - a,
a = 7.

-2-4 = (b-4)/2.