# What is the distance between (2,-1) and (-1,-5) on the coordinate plane?

Dec 10, 2016

The distance between the points is $5$

#### Explanation:

The formula for calculating the distance between two points is:

$\textcolor{red}{d = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}}$

Substituting our points into the formula givesL

$d = \sqrt{{\left(- 1 - 2\right)}^{2} + {\left(- 5 - - 1\right)}^{2}}$

$d = \sqrt{{\left(- 3\right)}^{2} + {\left(- 4\right)}^{2}}$

$d = \sqrt{9 + 16}$

$d = \sqrt{25}$

$d = 5$