# How do you find the distance between (2,-12) and (7,0)?

Sep 2, 2017

$13$

#### Explanation:

We can calculate the distance between these two points by using the formula

$\text{distance} = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$

So here ${x}_{2}$ is $7$ and ${x}_{1}$ is $2$ and ${y}_{2}$ is $0$ and ${y}_{1}$ is $- 12$, so the distance between these is

$\sqrt{{\left(7 - 2\right)}^{2} + {\left(0 + 12\right)}^{2}} = \sqrt{25 + 144} = \sqrt{169} = \text{13 units}$