How do you use the Distance Formula to find the distance between K(-7, -4) and L(-2, 0)?

Dec 16, 2016

sqrt41≈6.403" to 3 decimal places"

Explanation:

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{d = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}} \textcolor{w h i t e}{\frac{2}{2}} |}}} \leftarrow \text{ distance formula}$
where $\left({x}_{1} , {y}_{1}\right) , \left({x}_{2} , {y}_{2}\right) \text{ are 2 coordinate points}$

The 2 points here are (-7 ,-4) and (-2 ,0)

let $\left({x}_{1} , {y}_{1}\right) = \left(- 7 , - 4\right) \text{ and } \left({x}_{2} , {y}_{2}\right) = \left(- 2 , 0\right)$

$d = \sqrt{{\left(- 2 - \left(- 7\right)\right)}^{2} + {\left(0 - \left(- 4\right)\right)}^{2}} = \sqrt{{5}^{2} + {4}^{2}}$

=sqrt(25+16)=sqrt41≈6.403" to 3 decimal places"