# How do you find the distance between (4,8) and (-3,-6)?

Apr 2, 2017

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

#### Explanation:

Given the points $\left(4 , 8\right) \mathmr{and} \left(- 3 , - 6\right)$

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

$d = \sqrt{{\left(- 3 - 4\right)}^{2} + {\left(- 6 - 8\right)}^{2}}$

$d = \sqrt{{\left(- 7\right)}^{2} + {\left(- 14\right)}^{2}}$

$d = \sqrt{49 + 196}$

$d = \sqrt{245}$