Question

what is the slope of this line? (4, 1) (0, -2) 3/4 -3/4 0 undefined

Explanation:

Step1: Identify slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Select two points

We have the points $(0,-2)$ and $(4,1)$. Let $(x_1,y_1)=(0,-2)$ and $(x_2,y_2)=(4,1)$.

Step3: Substitute values

$m=\frac{1-(-2)}{4 - 0}=\frac{1 + 2}{4}=\frac{3}{4}$.

Answer:

$\frac{3}{4}$