# How do you find the distance between points (5,8), (5,7)?

May 1, 2017

See the 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:

$d = \sqrt{{\left(\textcolor{red}{5} - \textcolor{b l u e}{5}\right)}^{2} + {\left(\textcolor{red}{7} - \textcolor{b l u e}{8}\right)}^{2}}$

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

$d = \sqrt{0 + 1}$

$d = \sqrt{1}$

$d = 1$