#### Answer

$\left( 0, 2 \right)$

#### Work Step by Step

Solution Outline: Use the Midpoint Formula to find the midpoint of the line segment joining the given points, $(
-8,-12
)$ and $(
8,16
).$
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 with the above given endpoints is
\begin{array}{l}\require{cancel}
\left( \dfrac{-8+8}{2}, \dfrac{-12+16}{2} \right)
\\\\=
\left( \dfrac{0}{2}, \dfrac{4}{2} \right)
\\\\=
\left( 0, 2 \right)
.\end{array}