# What is the distance between (–3, 2) and  (5, –1) ?

Apr 1, 2016

Distance $= \sqrt{73}$

#### Explanation:

The coordinates are:
$\left(- 3 , 2\right) = \textcolor{b l u e}{{x}_{1} , {y}_{1}}$

$\left(5 , - 1\right) = \textcolor{b l u e}{{x}_{2} , {y}_{2}}$

Distance is calculated using formula:
Distance = sqrt ((x_2- x_1) ^2 + (y_2 - y_1)^2

= sqrt ((5 - (-3 )) ^2 + (-1 - 2)^2

= sqrt ((5 + 3 ) ^2 + (-1 - 2)^2

= sqrt ((8 ) ^2 + (-3)^2#

$= \sqrt{64 + 9}$

$= \sqrt{73}$