Question

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the slope of the line is m = (simplify your answer. type an integer or fraction.)
b. the slope is undefined.

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 on the line

From the graph, we can see that the line is a horizontal line. Let's take two points on the line, say $(- 4,2)$ and $(4,2)$.

Step3: Calculate the slope

Substitute $x_1=-4,y_1 = 2,x_2 = 4,y_2=2$ into the slope formula: $m=\frac{2 - 2}{4-(-4)}=\frac{0}{8}=0$. But if the line is vertical, the slope is undefined. Since the line in the graph is horizontal, the slope is $0$.

Answer:

A. The slope of the line is $m = 0$