Answer:
(6, 10 )
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 ) = (2, 4) and (x₂, y₂ ) = (10, 16) , thus
midpoint = [tex]\frac{2+10}{2}[/tex], [tex]\frac{4+16}{2}[/tex] ) = ( [tex]\frac{12}{2}[/tex], [tex]\frac{20}{2}[/tex] ) = (6, 10 )
