Answer
$\left( -\dfrac{9}{2}, \dfrac{3}{2} \right)$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the Midpoint Formula to find the midpoint of the line segment joining the given points, $(
0,-5
)$ and $(
-9,8
).$
$\bf{\text{Solution Details:}}$
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 endpoints given above is
\begin{array}{l}\require{cancel}
\left( \dfrac{0+(-9)}{2}, \dfrac{-5+8}{2} \right)
\\\\=
\left( \dfrac{0-9}{2}, \dfrac{-5+8}{2} \right)
\\\\=
\left( \dfrac{-9}{2}, \dfrac{3}{2} \right)
\\\\=
\left( -\dfrac{9}{2}, \dfrac{3}{2} \right)
.\end{array}