# What is the distance between (-12,4) and (9,3)?

Mar 17, 2016

$d = 21.023$

#### Explanation:

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

$\left(- 12 , 4\right) \mathmr{and} \left(9 , 3\right)$

${x}_{1} = - 12$
${y}_{1} = 4$
${x}_{2} = 9$
${y}_{2} = 3$

$d = \sqrt{{\left({y}_{2} - {y}_{1}\right)}^{2} + {\left({x}_{2} - {x}_{1}\right)}^{2}}$
$d = \sqrt{{\left(3 - 4\right)}^{2} + {\left(9 - \left(- 12\right)\right)}^{2}}$
$d = \sqrt{{\left(- 1\right)}^{2} + {\left(21\right)}^{2}}$
$d = \sqrt{1 + 441}$
$d = \sqrt{442}$
$d = 21.023$