# How do you find the distance between (-2,2), (-6,-8)?

May 30, 2017

Distance = $\sqrt{\Delta {x}^{2} + \Delta {y}^{2}}$ Your answer is $2 \sqrt{29}$ units

#### Explanation:

You should find $\Delta x$ and $\Delta y$ first.

$\Delta x = - 6 - \left(- 2\right) = - 4$

$\Delta y = - 8 - \left(2\right) = - 10$

Now you can find distance:

Distance = $\sqrt{{\left(- 4\right)}^{2} + {\left(- 10\right)}^{2}}$

Distance = $\sqrt{16 + 100}$

Distance = $\sqrt{116}$

Distance = $2 \sqrt{29}$ units

Your answer is Distance =$2 \sqrt{29}$