# What is the distance between (5,-3) and (0,9)?

Feb 19, 2016

13 units

#### Explanation:

To calculate the distance between 2 points use the color(blue)(" distance formula "

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

where$\left({x}_{1} , {y}_{1}\right) , \left({x}_{2} , {y}_{2}\right) \text{ are the coords of the 2 points }$

here , let $\left({x}_{1} , {y}_{1}\right) = \left(5 , - 3\right) \text{ and } \left({x}_{2} , {y}_{2}\right) = \left(0 , 9\right)$

hence d $= \sqrt{{\left(0 - 5\right)}^{2} + {\left(9 - \left(- 3\right)\right)}^{2}} = \sqrt{25 + 144} = \sqrt{169} = 13$