What is the distance between A(-1,-3) and point B(5,5)?

1 Answer
Feb 18, 2016

Answer:

#10#

Explanation:

You are going to have to use the distance formula. That states that the distance between two points is #sqrt((x_2-x_1)^2 + (y_2-y_1)^2)# (it basically makes a triangle with side lengths #(x_2-x_1)# and #(y_2-y_1)# and then uses the Pythagorean Theorem.

For more information on where the distance formula came from, see this website.

We can just plug into this equation to get the distance.
#sqrt((x_2-x_1)^2 + (y_2-y_1)^2)#
=#sqrt((5-(-1))^2 + (5-(-3))^2)#
=#sqrt((6)^2 + (8)^2)#
=#sqrt(36+64)#
=#sqrt(100)#
=#10#