Question

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

Answer 1

`m=-6/5`

Explanation:

Given that the line goes through 2 points, `(4,-1)` and `(-1,5)`.
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 `\frac{y_2-y_1}{x_2-x_1}=\frac{5-(-1)}{-1-4}=\frac{5+1}{-5}=6/-5`

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