Answer
$(-5,\frac{5}{2})$
Work Step by Step
We know that the midpoint of the line segment whose endpoints are $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is the point with coordinates $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$.
Therefore, a line with endpoints (-2, -1) and (-8, 6) will have a midpoint of $(\frac{-2+(-8)}{2},\frac{-1+6}{2})=(\frac{-10}{2},\frac{5}{2})=(-5,\frac{5}{2})$.