# What is the distance between  (–7, 8)  and  (–5, 13) ?

$\sqrt{29}$
$= \sqrt{{\left(y 2 - y 1\right)}^{2} + {\left(x 2 - x 1\right)}^{2}}$
in this case the distance $= \sqrt{{\left(13 - 8\right)}^{2} + {\left(- 5 + 7\right)}^{2}}$
$= \sqrt{29}$