Answer:
(1, 28 )
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 ) = G(- 2, 46) and (x₂, y₂ ) = L(4, 10), thus
midpoint = ([tex]\frac{-2+4}{2}[/tex] , [tex]\frac{46+10}{2}[/tex] ) = ([tex]\frac{2}{2}[/tex] , [tex]\frac{56}2}[/tex] ) = (1, 28 )