# What is the distance between (15,-4) and (7,5)?

What is the distance between (15,-4) and (7,5)?
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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:
$d=\sqrt{{\left(7-15\right)}^{2}+{\left(5--4\right)}^{2}}$
$d=\sqrt{{\left(-8\right)}^{2}+{9}^{2}}$
$d=\sqrt{145}$
or
$d=12.042$ rounded to the nearest thousandth.