Question

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

Answer 1

`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`