#### Answer

$\left( 5,-1 \right)$

#### 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 $\left(
1,4
\right) \text{ and } \left(
9,-6
\right),$ is
\begin{array}{l}\require{cancel}
\left( \dfrac{1+9}{2},\dfrac{4+(-6)}{2} \right)
\\\\=
\left( \dfrac{10}{2},\dfrac{-2}{2} \right)
\\\\=
\left( 5,-1 \right)
.\end{array}