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, the midpoint of the line segment joining the given points $
(-2,-5) \text{ and } (-6,12)
$ 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}
