# What is the distance between the points (-4,-5) and (5 1)?

Dec 9, 2016

The distance between the two points is 11.3 rounded to the nearest tenth.

#### Explanation:

The formula for calculating the distance between two points is:

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

Substituting the points provided allows us to calculate the distance between the two points:

$d = \sqrt{{\left(5 - \left(- 4\right)\right)}^{2} + {\left(1 - \left(- 5\right)\right)}^{2}}$

$d = \sqrt{{\left(9\right)}^{2} + {\left(6\right)}^{2}}$

$d = \sqrt{91 + 36}$

$d = \sqrt{127}$

#d = 11.3