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

May 8, 2016

=sqrt(130

#### Explanation:

(-4,7) = color(blue)(x_1,y_1

(7, 4) = color(blue)(x_2,y_2

The distance is calculated using formula:

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

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

$= \sqrt{{\left(7 + 4\right)}^{2} + {\left(- 3\right)}^{2}}$

$= \sqrt{{\left(11\right)}^{2} + {\left(- 3\right)}^{2}}$

=sqrt((121 + 9)

=sqrt(130