Answer:
(- 4, 2 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = A (- 2, 8) and (x₂, y₂ ) = B (- 6, - 4) , then
midpoint = ( [tex]\frac{-2-6}{2}[/tex], [tex]\frac{8-4}{2}[/tex] ) = ( [tex]\frac{-8}{2}[/tex], [tex]\frac{4}{2}[/tex] ) = (- 4, 2 )
