Question

What are the coordinates of the midpoint of the segment whose endpoint are P(-6, 3) and Q(9, -11)

A. (-3, -2)
B. (-1.5, -1)
C. (1.5, -4)
D. (3, -8)

Answer 1

(-1.5, -1)

Explanation:

Answer 2

`\large\boxed{C.\ (1.5,\ -4)}`

Explanation:

The formula of a midpoint of a segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂):

`M_(AB)\left((x_1+x_2)/(2),\ (y_1+y_2)/(2)\right)`

We have the points P(-6, 3) and Q(9, -11).

Substitute:

`M_(PQ)(x,\ y)\\\\x=(-6+9)/(2)=(3)/(2)=1.5\\\\y=(3+(-11))/(2)=(-8)/(2)=-4`