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

Dec 5, 2016

5

#### Explanation:

Distance formula for finding out the distance between two points $\left({x}_{1} , {y}_{1}\right) \mathmr{and} \left({x}_{2} , {y}_{2}\right)$ is

$\sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$. Using this formula, the distance between the two given points would be

$\sqrt{{3}^{2} + {4}^{2}}$ = $\sqrt{25}$ =5

Dec 5, 2016

using distance formula sqrt( (x2-x1)^2+(y2-y1)^2
$5$

#### Explanation:

$\left(x 1 , y 1\right) = \left(6 , 2\right)$ and $\left(x 2 , y 2\right) = \left(3 , - 2\right)$

using distance formula
sqrt((3-6)^2+(-2-2)^2
sqrt((-3)^2+(-4)^2
$\sqrt{9 + 16}$
$\sqrt{25}$
$5$