# What is the slope of the line passing through the following points: (4,1), (-7,0) ?

Feb 26, 2016

$m = \frac{1}{11}$

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

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

substitute these values into the equation for m

$\Rightarrow m = \frac{0 - 1}{- 7 - 4} = \frac{- 1}{- 11} = \frac{1}{11}$