# What is the distance between (13,-11) and (22,-4)?

What is the distance between (13,-11) and (22,-4)?
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Elias Keller
The distance between two points can be calculated with the formula:
$d=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}}$
Substitute your known values into the distance formula to find the distance between the two points:
$d=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}}$
$d=\sqrt{{\left(\left(22\right)-\left(13\right)\right)}^{2}+{\left(\left(-4\right)-\left(-11\right)\right)}^{2}}$
$d=\sqrt{81+49}$
$\therefore$ the distance between the two points is $\sqrt{130}$ units.