# What is the distance between (–3, –2) and (1, 6) ?

Dec 20, 2015

Apply the distance formula to find that the distance between the two points is
$4 \sqrt{5}$

#### Explanation:

Applying the distance formula, we get

$\text{distance} = \sqrt{{\left(1 - \left(- 3\right)\right)}^{2} + {\left(6 - \left(- 2\right)\right)}^{2}}$

$= \sqrt{{4}^{2} + {8}^{2}}$

$= \sqrt{80}$

$= 4 \sqrt{5}$