# How do you find the distance between the points (2,2), (5,-1)?

Jul 18, 2017

The distance between two points is $3 \sqrt{2}$ unit.

#### Explanation:

The distance between two points is

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

or $d = \sqrt{{\left(2 - 5\right)}^{2} + {\left(2 - \left(- 1\right)\right)}^{2}} = \sqrt{9 + 9} = \sqrt{18} = 3 \sqrt{2}$

The distance between two points is $3 \sqrt{2}$ unit [Ans]