# How do you find the slope of (2,5); (9,1) without a graph?

Jun 28, 2016

slope$= - \frac{4}{7}$

#### Explanation:

To find the slope (m ) we can use the $\textcolor{b l u e}{\text{gradient formula}}$

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where $\left({x}_{1} , {y}_{1}\right) \text{ and " (x_2,y_2)" are 2 points}$

Here the 2 points are (2 ,5) and (9 ,1)

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

$\Rightarrow m = \frac{1 - 5}{9 - 2} = \frac{- 4}{7} = - \frac{4}{7}$