# What is the distance between (8, 2)  and  (–5, –9) ?

Mar 23, 2016

$= \sqrt{220}$

#### Explanation:

The coordinates are:
(8,2) = color(blue)(x_1 , y_1

(-5, -9) = color(blue)(x_2 , y_2

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

 = sqrt ((-5-8)^2 + (-9-2)^2

 = sqrt ((-13)^2 + (-11)^2

 = sqrt ((169 + 121)

$= \sqrt{220}$