# To the nearest tenth, what is the distance between (7, -4) and (-3, -1)?

Jan 10, 2017

The distance is 10.4

#### 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 points from the problem into the formula and calculating gives:

$d = \sqrt{{\left(\textcolor{red}{- 3} - \textcolor{b l u e}{7}\right)}^{2} + {\left(\textcolor{red}{- 1} - \textcolor{b l u e}{- 4}\right)}^{2}}$

$d = \sqrt{{\left(- 10\right)}^{2} + {\left(3\right)}^{2}}$

$d = \sqrt{100 + 9}$

$d = \sqrt{109}$

$d = 10.4$