# What is the distance between (-8,17) and (-8,-8)?

Jun 27, 2017

25

#### Explanation:

Use the distance formula:

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

Plug your points into the formula.

You can make either coordinate set #1. Let's use (-8, 17) as our first.

$\left(- 8 , 17\right)$
${x}_{1} = - 8 , {y}_{1} = 17$

$\left(- 8 , - 8\right)$
${x}_{2} = - 8 , {y}_{2} = - 8$

Distance = $\sqrt{{\left(- 8 - \left(- 8\right)\right)}^{2} + {\left(- 8 - 17\right)}^{2}}$

$= \sqrt{{0}^{2} + {\left(- 25\right)}^{2}}$
$= \sqrt{0 + 625}$
$= \sqrt{625}$
$= 25$

The distance between the two points is $25$.