# What is the distance between (6,-2) and (-9,13)?

What is the distance between (6,-2) and (-9,13)?
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Garrett Valenzuela
Use the distance formula:
$d=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}}$
$\left({x}_{1},{y}_{1}\right)\to \left(6,-2\right)$
$\left({x}_{2},{y}_{2}\right)\to \left(-9,13\right)$
Thus,
$d=\sqrt{{\left(-9-6\right)}^{2}+\left(13-{\left(-2\right)}^{2}\right)}$
$d=\sqrt{{\left(-15\right)}^{2}+{15}^{2}}$
$d=\sqrt{2\cdot {15}^{2}}$
$d=15\sqrt{2}$