# What is the distance between (0, -5) and (18, -10)?

Apr 6, 2018

$18.68$ units (rounded to 2 decimal places)

#### Explanation:

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

ie:
$\left({x}_{1} , {y}_{1}\right) = \left(0 , - 5\right)$ and $\left({x}_{2} , {y}_{2}\right) = \left(18 , - 10\right)$

Distance:
= $\sqrt{{\left(0 - 18\right)}^{2} + {\left(- 5 + 10\right)}^{2}}$
= $\sqrt{324 + 25}$
= $\sqrt{349}$
= $18.68$ units (rounded to 2 decimal places)