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

May 8, 2016

The distance =sqrt(130

#### Explanation:

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

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

The distance is calculated using formula:

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

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

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

=sqrt((121 + 9)

=sqrt(130