# What is the distance between (-4,11) and (-7, 7) ?

Mar 27, 2018

The distance between the two points is $5$.

#### Explanation:

Use the distance formula:

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

Plug in our points $\left(- 4 , 11\right)$ and $\left(- 7 , 7\right)$:

$d = \sqrt{{\left(- 7 - \left(- 4\right)\right)}^{2} + {\left(7 - 11\right)}^{2}}$

$\textcolor{w h i t e}{d} = \sqrt{{\left(- 7 + 4\right)}^{2} + {\left(7 - 11\right)}^{2}}$

$\textcolor{w h i t e}{d} = \sqrt{{\left(- 3\right)}^{2} + {\left(- 4\right)}^{2}}$

$\textcolor{w h i t e}{d} = \sqrt{9 + 16}$

$\textcolor{w h i t e}{d} = \sqrt{25}$

$\textcolor{w h i t e}{d} = 5$

That's the distance. Hope this helped!