# What is the distance between points (1, 9) and (-4, -1)? Round your answer to the tenths place.

##### 1 Answer
Apr 4, 2017

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:

$d = \sqrt{{\left(\textcolor{red}{- 4} - \textcolor{b l u e}{1}\right)}^{2} + {\left(\textcolor{red}{- 1} - \textcolor{b l u e}{9}\right)}^{2}}$

$d = \sqrt{{\left(- 5\right)}^{2} + {\left(- 10\right)}^{2}}$

$d = \sqrt{25 + 100}$

$d = \sqrt{125} = 11.2$ rounded to the nearest tenth.