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

1 Answer
Feb 18, 2016

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