# What is the slope of the line passing through the following points: (-2,-7) , (-7,0) ?

Jan 10, 2016

$- \frac{7}{5}$

#### Explanation:

to calculate the slope of a line (m) use the gradient formula :

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

in this question let $\left({x}_{1} , {y}_{1}\right) = \left(- 2 , - 7\right) \left({x}_{2} , {y}_{2}\right) = \left(- 7 , 0\right)$

substitute these values into the formula as follows :

$m = \frac{0 - \left(- 7\right)}{\left(- 7\right) - \left(- 2\right)} = \frac{7}{-} 5$

$\Rightarrow m = s l o p e = - \frac{7}{5}$