[tex]\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
R&({{ 3}}\quad ,&{ 4})\quad
% (c,d)
&({{ x}}\quad ,&{{ y}})
\end{array}\qquad
% coordinates of midpoint
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)=(3,-2)\\\\
-------------------------------\\\\[/tex]
[tex]\bf \left(\cfrac{{{ x}} + {{ 3}}}{2}\quad ,\quad \cfrac{{{ y}} + {{ 4}}}{2} \right)=(3,-2)\implies
\begin{cases}
\cfrac{x+3}{2}=3\\\\
x+3=6\\
\boxed{x=3}\\
----------\\
\cfrac{y+4}{2}=-2\\\\
y+4=-4\\
\boxed{y=-8}
\end{cases}[/tex]
