Question

Find the midpoint M of the line segment joining the points A = (-2, 8) and B = (-8, -4).

Answer 1

Answer:

M (- 5, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( $\frac{x_{1}+x_{2} }{2}$ , $\frac{y_{1}+y_{2} }{2}$ )

Here (x₁, y₁ ) = A (- 2, 8 ) and (x₂, y₂ ) = B (- 8, - 4 ) , then

midpoint = ( $\frac{-2-8}{2}$ , $\frac{8-4}{2}$ ) = ( $\frac{-10}{2}$ , $\frac{4}{2}$ ) = (- 5, 2 )