# What is the distance between (2,-4) and (0,6)?

What is the distance between (2,-4) and (0,6)?
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Willie Sharp
$\text{calculate the distance using the}\phantom{\rule{1ex}{0ex}}\text{distance formula}$
$•xd=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}}$
$\text{let}\phantom{\rule{1ex}{0ex}}\left({x}_{1},{y}_{1}\right)=\left(2,-4\right)\phantom{\rule{1ex}{0ex}}\text{and}\phantom{\rule{1ex}{0ex}}\left({x}_{2},{y}_{2}\right)=\left(0,6\right)$
$d=\sqrt{{\left(0-2\right)}^{2}+{\left(6+4\right)}^{2}}=\sqrt{104}\approx 10.198$