Respuesta :

The given points are A(-3,8) and B(-7,6).

The midpoint formula is-

[tex]M=(\frac{x_1+x^{}_2}{2},\frac{y_1+y_2}{2})[/tex]

Where,

[tex]\begin{gathered} x_1=-3 \\ x_2=-7 \\ y_1=8 \\ y_2=6 \end{gathered}[/tex]

Replacing these coordinates, we have

[tex]\begin{gathered} M=(\frac{-3-7}{2},\frac{8+6}{2}) \\ M=(\frac{-10}{2},\frac{14}{2}) \\ M=(-5,7) \end{gathered}[/tex]

Therefore, the midpoint of AB is (-5, 7).