# What is the distance between  (–5, –9)  and  (–7, 8) ?

Jan 13, 2016

distance=sqrt(293

#### Explanation:

The points are
(-5,-9) = color(blue)(x_1,y_1

(-7,8) = color(blue)(x_2,y_2

The distance is found using formula

distance =sqrt((x_2-x_1)^2 + (y_2-y_1)^2

=sqrt((-7 - (-5))^2 + (8-(-9))^2

=sqrt((-7 + 5)^2 + (8 +9)^2

=sqrt((-2 )^2 + (17)^2

=sqrt(4 + 289

=sqrt(293