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

Feb 18, 2016

$10$

#### Explanation:

You are going to have to use the distance formula. That states that the distance between two points is $\sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$ (it basically makes a triangle with side lengths $\left({x}_{2} - {x}_{1}\right)$ and $\left({y}_{2} - {y}_{1}\right)$ 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.
$\sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$
=$\sqrt{{\left(5 - \left(- 1\right)\right)}^{2} + {\left(5 - \left(- 3\right)\right)}^{2}}$
=$\sqrt{{\left(6\right)}^{2} + {\left(8\right)}^{2}}$
=$\sqrt{36 + 64}$
=$\sqrt{100}$
=$10$