# What is the distance between (-4,-19) and (1,-12)?

Dec 18, 2016

The distance between the points is $\sqrt{74}$

or

$8.6$ rounded to the nearest 10th.

#### 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 from the problem gives:

$d = \sqrt{{\left(1 - - 4\right)}^{2} + {\left(- 12 - - 19\right)}^{2}}$

$d = \sqrt{{\left(1 + 4\right)}^{2} + {\left(- 12 + 19\right)}^{2}}$

$d = \sqrt{{5}^{2} + {7}^{2}}$

$d = \sqrt{25 + 49}$

$d = \sqrt{74}$