Answer
$\left( \dfrac{5}{2},1 \right)$
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 segment joining $\left(
8,-2
\right) \text{ and } \left(
-3,4
\right),$ is
\begin{array}{l}\require{cancel}
\left( \dfrac{8+(-3)}{2},\dfrac{-2+4}{2} \right)
\\\\=
\left( \dfrac{5}{2},\dfrac{2}{2} \right)
\\\\=
\left( \dfrac{5}{2},1 \right)
.\end{array}