# What is the distance between #(-14,-19)# and #(6,-8)#?

##### 1 Answer

Mar 18, 2018

#### Explanation:

#"calculate the distance using the "color(blue)"distance formula"#

#•color(white)(x)d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)#

#"let "(x_1,y_1)=(-14,-19)" and "(x_2,y_2)=(6,-8)#

#d=sqrt((6+14)^2+(-8+19)^2)#

#color(white)(d)=sqrt(400+121)=sqrt521~~22.83#