Answer
$\left\{\begin{array}{l}
\Delta x=2\\
\\
\Delta y=-4
\end{array}\right., \qquad $distance = $2\sqrt{5}$
Work Step by Step
$A=(x_{1},y_{1})=(-3,2)$
$B=(x_{2},y_{2})=(-1,-2)$
The increments in the coordinates are calculated as $\left\{\begin{array}{l}
\Delta x=x_{2}-x_{1}\\
\Delta y=y_{2}-y_{1}
\end{array}\right.$
$\left\{\begin{array}{l}
\Delta x=-1-(-3)=2\\
\\
\Delta y=-2-2=-4
\end{array}\right.$
The distance formula: $\quad d=\sqrt{(\Delta x)^{2}+(\Delta y)^{2}}$
$d=\sqrt{2^{2}+(-4)^{2}}=\sqrt{4+16}=\sqrt{20}=\sqrt{4\cdot 5}=2\sqrt{5}$
