# What is the distance between #(-4, 6)# and # (3,7) #?

##### 2 Answers

The distance between the two points is

#### Explanation:

Using the distance formula,

we can plug in our points,

and solve for the distance:

#### Explanation:

#"to calculate the distance use 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)=(-4,6)" and "(x_2,y_2)=(3,7)#

#d=sqrt((3-(-4))^2+(7-6)^2)#

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