Question

What is the midpoint of a segment whose endpoints are (5, 8) and (11, 6)?

a. (8, 7)
b. (7, 8)
c. (-3, 1)
d. (1, 3)

Answer 1

Use the midpoint formula for the midpoint (xm, ym) between (x1,y1) and (x2,y2);
xm = (x1 +x2)/2
ym = (y1 +y2)/2

Because (x1,y1) = (5,8) and (x2,y2) = (11,6), therefore
xm = (x1 + x2)/2 = (5+11)2 =8
ym = (8+6)/2 = 7
The midpoint is (8,7).

Answer: a