# What is the distance between (6,4) and (-3,5)?

Apr 22, 2017

#### Answer:

See the entire 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:

$d = \sqrt{{\left(\textcolor{red}{- 3} - \textcolor{b l u e}{6}\right)}^{2} + {\left(\textcolor{red}{5} - \textcolor{b l u e}{4}\right)}^{2}}$

$d = \sqrt{{\left(- 9\right)}^{2} + {1}^{2}}$

$d = \sqrt{81 + 1}$

$d = \sqrt{82} = 9.055$ rounded to nearest thousandth