# What is the slope of the line passing through the following points: (4, -1) , (-1, 5) ?

Jan 27, 2016

$m = - \frac{6}{5}$

#### Explanation:

Given that the line goes through 2 points, $\left(4 , - 1\right)$ and $\left(- 1 , 5\right)$.
So we'll take ${y}_{1} = - 1$ so ${x}_{1} = 4$. Then we'll take ${y}_{2} = 5$ so ${x}_{2} = - 1$

Given the equation to find slope of a line passing through two points is $\setminus \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \setminus \frac{5 - \left(- 1\right)}{- 1 - 4} = \setminus \frac{5 + 1}{- 5} = \frac{6}{-} 5$

So the slope of the equation is as given in the answers.