Answer:
(22;-3)
Step-by-step explanation:
if to calculate the coordinates of the given midpoint it needed to use:
[tex]x_{midpoint}=\frac{x_{endpoint1}+x_{endpoint2}}{2};[/tex]
[tex]y_{midpoint}=\frac{y_{endpoint1}+y_{endpoint2}}{2};[/tex]
then to calculate the coordinates of endpoint2, it needed to perform the substitution:
[tex]\frac{-10+x_{endpoint2}}{2}=6,[/tex]
[tex]2=\frac{7+y_{endpoint2}}{2},[/tex]
finally:
[tex]x_{endpoint2}=22;[/tex]
[tex]y_{endpoint2}=-3.[/tex]
