# What is the distance between #(1,5)# and #(2,-2)#?

##### 1 Answer

May 30, 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)=(1,5)" and "(x_2,y_2)=(2,-2)#

#d=sqrt((2-1)^2+(-2-5)^2)#

#color(white)(d)=sqrt(1^2+(-7)^2)=sqrt(1+49)=sqrt50=5sqrt2~~7.07#