# What is the distance between (-13,12) and (12,-2)?

Apr 2, 2016

≈ 28.65

#### Explanation:

To calculate the distance between 2 points , use the $\textcolor{b l u e}{\text{ distance formula }}$

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

where$\left({x}_{1} , {y}_{1}\right) \text{ and " (x_2,y_2)" are 2 coordinate points }$

let $\left({x}_{1} , {y}_{1}\right) = \left(- 13 , 12\right) \text{ and } \left({x}_{2} , {y}_{2}\right) = \left(12 , - 2\right)$

$\Rightarrow d = \sqrt{{\left(12 - \left(- 13\right)\right)}^{2} + {\left(- 2 - 12\right)}^{2}} = \sqrt{625 + 196}$

 = sqrt821 ≈ 28.65