# What is the distance between (2, 8) and (-6, -7)?

May 1, 2016

The distance $= 17$

#### Explanation:

$\left(2 , 8\right) = \textcolor{b l u e}{{x}_{1} , {y}_{1}}$

$\left(- 6 , - 7\right) = \textcolor{b l u e}{{x}_{2} , {y}_{2}}$

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

= sqrt ((-6 - 2)^2 + ( -7 - 8 )^2

= sqrt ((-8)^2 + ( -15 )^2

$= \sqrt{64 + 225}$

$= \sqrt{289}$

$= 17$