Answer
Midpoint $=(1,5\sqrt{5})$
Work Step by Step
$(8,3\sqrt{5})$ and $(-6,7\sqrt{5})$
The midpoint of a segment with endpoints $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is $\Big(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}\Big)$
Substitute the given points into the formula and evaluate:
Midpoint $=\Big(\dfrac{8-6}{2},\dfrac{3\sqrt{5}+7\sqrt{5}}{2}\Big)=\Big(\dfrac{2}{2},\dfrac{10\sqrt{5}}{2}\Big)=...$
$...=(1,5\sqrt{5})$
