Question

determine the slope of the line that passes through the following points: m = 0 the slope is undefined. m = - 2 m = - 1/2

Explanation:

Step1: Recall slope formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify points from graph

Let the upper - point be $(x_1,y_1)=(0,3)$ and the lower - point be $(x_2,y_2)=(0,1)$.

Step3: Calculate slope

Substitute into the formula: $m=\frac{1 - 3}{0-0}=\frac{-2}{0}$. Division by zero is undefined.

Answer:

The slope is undefined.