Question

Find the distance between the following pairs of points
$(-2,-3)$ and $(3,2)$

Answer 1

$\begin{array}{c}A\left(x_1,y_1\right)=A\left(2,-3\right)\\ B\left(x_2,y_2\right)=B\left(3,2\right)\\ AB=\sqrt{{\left(x_1-x_2\right)}^2+{\left(y_1-y_2\right)}^2}\\ AB=\sqrt{{\left(-2-3\right)}^2+{\left(-3-2\right)}^2}\\ =5\sqrt{2}units.\end{array}$