Answer:
(- 3.5, 0.5 )
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 ) = (- 3, - 1) and (x₂, y₂ ) = (- 4, 2) , then
midpoint = ( [tex]\frac{-3-4}{2}[/tex], [tex]\frac{-1+2}{2}[/tex] ) = ( [tex]\frac{-7}{2}[/tex], [tex]\frac{1}{2}[/tex] ) = (- 3.5, 0.5 )
