Answer
$\left( \dfrac{7}{2},\dfrac{7}{2} \right)$
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 segment joining $\left(
2,-1
\right) \text{ and } \left(
5,8
\right),$ is
\begin{array}{l}\require{cancel}
\left( \dfrac{2+5}{2},\dfrac{-1+8}{2} \right)
\\\\=
\left( \dfrac{7}{2},\dfrac{7}{2} \right)
.\end{array}