# Distance between (-3,-2) and (5,2)?

Distance between (-3,-2) and (5,2)?
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Jonah Cooke
The distance, r, between two points with coordinates $\left({x}_{1},{y}_{1}\right)$ and $\left({x}_{2},{y}_{2}\right)$ is given by
$r=\sqrt{{\left({x}_{1}-{x}_{2}\right)}^{2}+{\left({y}_{1}-{y}_{2}\right)}^{2}}$
It is an application of Pythagoras Theorem.
Therefore, the distance between (-3,-2) and (5,2) is
$\sqrt{{\left(-3-5\right)}^{2}+{\left(-2-2\right)}^{2}}=\sqrt{64+16}$
$=\sqrt{80}$
$=4\sqrt{5}$