Answer
$\left( -4,\dfrac{7}{2} \right)$
Work Step by Step
Using $\left( \dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2} \right)$ or the Midpoint Formula, then the midpoint of the line segment joing the given points, $
\left( -2,-5 \right) \text{ and }
\left( -6,12 \right)
,$ is
\begin{array}{l}\require{cancel}
\left( \dfrac{-2+(-6)}{2},\dfrac{-5+12}{2} \right)
\\\\=
\left( \dfrac{-2-6}{2},\dfrac{-5+12}{2} \right)
\\\\=
\left( \dfrac{-8}{2},\dfrac{7}{2} \right)
\\\\=
\left( -4,\dfrac{7}{2} \right)
.\end{array}
