Answer:
[tex]\huge\boxed{\left(2; 2\dfrac{1}{2}\right)}[/tex]
Step-by-step explanation:
[tex]\text{The formula of a midpoint:}\\\\M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)\\\\\text{We have the points}\ F(-2,\ 4),\ G(6,\ 1).\\\\\text{Substitute:}\\\\M_{FG}\left(\dfrac{-2+6}{2};\ \dfrac{4+1}{2}\right)\to M_{FG}\left(\dfrac{4}{2};\ \dfrac{5}{2}\right)\to M_{FG}\left(2; 2\dfrac{1}{2}\right)[/tex]