# What is the distance between (-6, -7) and (5, 12)?

Dec 17, 2015

$d = \sqrt{482}$

#### Explanation:

Use the distance formula

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

where

$\left(- 6 , - 7\right) \rightarrow \left({x}_{1} , {y}_{1}\right)$
$\left(5 , 12\right) \rightarrow \left({x}_{2} , {y}_{2}\right)$

$d = \sqrt{{\left(5 - \left(- 6\right)\right)}^{2} + {\left(12 - \left(- 7\right)\right)}^{2}}$

$d = \sqrt{{11}^{2} + {19}^{2}}$

$d = \sqrt{482}$