Answer
$\text{midpoint} = (5\sqrt{3}, -4)$
Work Step by Step
RECALL:
The midpoint of the line segment whose endpoints are $(x_1, y_1)$ and $(x_2, y_2)$ can be found using the midpoint formula:
$\text{midpoint}=\left(\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2} \right)$
Use the formula above to obtain:
$\text{midpoint} = \left(\dfrac{7\sqrt{3}+3\sqrt{3}}{2}, \dfrac{-6+(-2)}{2}\right)=\left(\dfrac{10\sqrt{3}}{2}, \dfrac{-8}{2}\right)
\\\text{midpoint} = (5\sqrt{3}, -4)$
