# Distance between (-5,-9) and (4,7)?

Distance between (-5,-9) and (4,7)?
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ralharn
To calculate the distance between 2 given points.
Use the distance formula
$d=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}}$
where $\left({x}_{1},{y}_{1}\right),\left({x}_{2},{y}_{2}\right)\phantom{\rule{1ex}{0ex}}\text{are 2 points}\phantom{\rule{1ex}{0ex}}$
here let $\left({x}_{1},{y}_{1}\right)=\left(-5,-9\right)\phantom{\rule{1ex}{0ex}}\text{and}\phantom{\rule{1ex}{0ex}}\left({x}_{2},{y}_{2}\right)=\left(4,7\right)$
substitute the values into equation.
$d=\sqrt{\left(4-{\left(-5\right)}^{2}\right)+\left(7-{\left(-9\right)}^{2}\right)}=\sqrt{\left({9}^{2}+{16}^{2}\right)}=\sqrt{337}\approx 18.4$