# What is the distance between (5,-3) and  (-5, -2) ?

Mar 6, 2016

#sqrt101 ≈ 10.05

#### 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 $\left({x}_{1} , {y}_{1}\right) \text{ and " (x_2,y_2)" are the coords of 2 points }$

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

$\Rightarrow d = \sqrt{{\left(- 5 - 5\right)}^{2} + {\left(- 2 + 3\right)}^{2}} = \sqrt{100 + 1} = \sqrt{101}$