#### Answer

$(x_{2},y_{2})=(3,-3)$

#### Work Step by Step

We find the second pair of coordinates:
$(x_{1},y_{1})=(-2,3),\quad$
$(x_{2},y_{2})=$...
$\left\{\begin{array}{l}
\Delta x=x_{2}-x_{1}=5\\
\Delta y=y_{2}-y_{1}=-6
\end{array}\right.$
$\left\{\begin{array}{l}
x_{2}=5+x_{1}=5+(-2)=3\\\\
y_{2}=y_{1}+(-6)=3-6=-3
\end{array}\right.$
$(x_{2},y_{2})=(3,-3)$