# Distance between (4,5) and (-6,-7)?

Distance between (4,5) and (-6,-7)?
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The formula for calculating the distance between two points is:
$d=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}}$
Substituting the values from the points in the problem gives:
$d=\sqrt{{\left(-6-4\right)}^{2}+{\left(-7-5\right)}^{2}}$
$d=\sqrt{{\left(-10\right)}^{2}+{\left(-12\right)}^{2}}$
$d=\sqrt{244}$
$d=\sqrt{4\cdot 61}$
$d=2\sqrt{61}$
$d\cong 15.62$