# How do you find the distance between (-7.487,1.8), (-3.1,-1.2)?

Aug 20, 2017

See a solution process below:

#### Explanation:

The formula for calculating the distance between two points is:

$d = \sqrt{{\left(\textcolor{red}{{x}_{2}} - \textcolor{b l u e}{{x}_{1}}\right)}^{2} + {\left(\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}\right)}^{2}}$

Substituting the values from the points in the problem gives:

$d = \sqrt{{\left(\textcolor{red}{- 3.1} - \textcolor{b l u e}{- 7.487}\right)}^{2} + {\left(\textcolor{red}{- 3.1} - \textcolor{b l u e}{1.8}\right)}^{2}}$

$d = \sqrt{{\left(\textcolor{red}{- 3.1} + \textcolor{b l u e}{7.487}\right)}^{2} + {\left(\textcolor{red}{- 3.1} - \textcolor{b l u e}{1.8}\right)}^{2}}$

$d = \sqrt{{4.387}^{2} + {\left(- 4.9\right)}^{2}}$

$d = \sqrt{19.245769 + 24.01}$

$d = \sqrt{43.255769}$