Answer:
(7.5, - 2.5 )
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 ) = (10, 2 ) and (x₂, y₂ ) = (5, - 7 ) , then
midpoint = ( [tex]\frac{10+5}{2}[/tex] , [tex]\frac{2-7}{2}[/tex] ) = ([tex]\frac{15}{2}[/tex] , [tex]\frac{-5}{2}[/tex] ) = (7.5, - 2.5 )
