# How do you find the distance between (3,0) and (6,-2)?

Oct 10, 2016

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

$d = \sqrt{13}$

#### Explanation:

Use the distance formula:

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

$d = \sqrt{{\left(6 - 3\right)}^{2} + {\left(- 2 - 0\right)}^{2}}$

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

$d = \sqrt{9 + 4}$

$d = \sqrt{13}$