# What is the distance between (–5, –9)  and  (4, 7) ?

Jan 31, 2016

#### Answer:

 sqrt337 ≈ 18.4

#### Explanation:

To calculate the distance between 2 given 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 $\left({x}_{1} , {y}_{1}\right) , \left({x}_{2} , {y}_{2}\right) \textcolor{b l a c k}{\text{ are 2 points }}$

here let $\left({x}_{1} , {y}_{1}\right) = \left(- 5 , - 9\right) \textcolor{b l a c k}{\text{ and }} \left({x}_{2} , {y}_{2}\right) = \left(4 , 7\right)$

substitute the values into equation.

 d = sqrt ((4-(-5)^2) + (7-(-9)^2)) = sqrt (( 9^2+ 16^2)) = sqrt337 ≈18.4