Question

What is the midpoint of a line segment with the endpoints (-4, -3) and (7, -5) apex

A. (1.5,-4)
B. (-4, 1.5)
C. 91, -3.5)
D. (-3.5, 1)

Answer 1

Im going to assume the 9 was an atempt at ( and say that its the answer is C

Explanation:

the endpoints are 11 and 2 units away, +5.5 x units, and-.5 y units.

Answer 2

Answer: (1.5,-4)

Explanation:

P=(7,-5) Q=(-4,-3)

Displacement vector from Q to P:

D = P - Q = (7,-5)-(-4,-3) = (11,-2)

P = Q + 100%D = (-4,-3)+(11,-2) = (7,-5)

Midpoint = M = Q + 50%D

= (-4,-3) + 0.5(11,-2) = (-4,-3) + (5.5,-1)

= (1.5,-4)

P = M + 50%D = (1.5,-4)+(5.5,-1) = (7,-5)