[tex] \bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
A(\stackrel{x_1}{-7}~,~\stackrel{y_1}{2})\qquad
B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y})
\qquad
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{x-7}{2}~~,~~\cfrac{y+2}{2} \right)~~=~~\stackrel{midpoint}{(-2,2)}\implies
\begin{cases}
\cfrac{x-7}{2}=-2\\\\
x-7=-4\\
\boxed{x=3}\\[-0.5em]
\hrulefill\\
\cfrac{y+2}{2}=2\\\\
y+2=4\\
\boxed{y=2}
\end{cases} [/tex]
