# How do you find the distance between (-3,-1), (-4,0)?

Dec 26, 2016

$d = \sqrt{2}$ or $d = 1.414$ rounded to the nearest thousandth.

#### 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 we are given in this problem gives:

$d = \sqrt{{\left(- 4 - \left(- 3\right)\right)}^{2} + {\left(0 - \left(- 1\right)\right)}^{2}}$

$d = \sqrt{{\left(- 4 + 3\right)}^{2} + {\left(0 + 1\right)}^{2}}$

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

$d = \sqrt{1 + 1}$

$d = \sqrt{2}$

$d = 1.414$