# What is the distance between (8, 2)  and  (-5,2 ) ?

Mar 23, 2016

$d = 13$

#### Explanation:

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

$\left(8 , 2\right) \mathmr{and} \left(- 5 , 2\right)$

${x}_{1} = 8$
${y}_{1} = 2$
${x}_{2} = - 5$
${y}_{2} = 2$

$d = \sqrt{{\left({y}_{2} - {y}_{1}\right)}^{2} + {\left({x}_{2} - {x}_{1}\right)}^{2}}$
d=sqrt((2-2)^2 + (-5-8))^2)
$d = \sqrt{{\left(0\right)}^{2} + {\left(- 13\right)}^{2}}$
$d = \sqrt{0 + 169}$
$d = \sqrt{169}$
$d = 13$