# What is the slope of the line passing through  (2,9) ;(7,-2)?

Mar 19, 2016

$- \frac{11}{5}$

#### Explanation:

To find the gradient (slope) of a line passing through 2 points use the $\textcolor{b l u e}{\text{ gradient formula }}$

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

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

let $\left({x}_{1} , {y}_{1}\right) = \left(2 , 9\right) \text{ and } \left({x}_{2} , {y}_{2}\right) = \left(7 , - 2\right)$

then $m = \frac{- 2 - 9}{7 - 2} = - \frac{11}{5}$