# What is the slope of the line passing through the following points: (3, 5) , (-3, 8) ?

Jan 10, 2016

$m = - \frac{1}{2}$

#### Explanation:

To find the slope use the gradient formula :

This states that the slope (m) = $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

in this question let  x_1 , y_1 ) = (3 . 5 ) (x_2 , y_2 ) = (- 3 , 8 )

$\Rightarrow m = \frac{8 - 5}{- 3 - 3} = \frac{3}{-} 6 = - \frac{1}{2}$