Question

What is the midpoint of a line segment whose endpoints are (-4,3) and (5,-6)?

A.)(-4.5,-4.5)
B.)(.5,-1.5)
C.)(-.5,1.5)
D.)(4.5,4.5)

Answer 1

Okay, so let's start with the labeling first:
(-4 = x1, 3 = y1) and (5 = x2, -6 = y2)

So now it's time to use the formula:

x Midpoint = (x1 + x2) / 2
y Midpoint = (y1 + y2) / 2

So then that would be:

x Midpoint = (-4 - 5) = (4 + 5) / 2 = 4.5
y Midpoint = (3 - -6) = (3 + 6) / 2 = 4.5

So therefore our answer for the midpoint would be:
(4.5, 4.5) which is D