Question

determine the slope of the line.

Explanation:

Step1: Select two points on the line

Let's take the points $(0, - 1)$ and $(4,4)$.

Step2: Use the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1=-1,x_2 = 4,y_2 = 4$. Then $m=\frac{4-(-1)}{4 - 0}=\frac{4 + 1}{4}=\frac{5}{4}$.

Answer:

$\frac{5}{4}$