Answer:
[tex]\large\boxed{\left(\dfrac{11}{2};\ 4\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}\ (5,\ 1)\ \text{and}\ (6,\ 7):\\\\x=\dfrac{5+6}{2}=\dfrac{11}{2}\\\\y=\dfrac{1+7}{2}=\dfrac{8}{2}=4[/tex]
