Question

find the slope of the line. 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 two points on the line

From the graph, we can take two points, say $(- 4,0)$ and $(4,0)$.

Step3: Calculate the slope

Substitute $x_1=-4,y_1 = 0,x_2 = 4,y_2=0$ into the slope formula: $m=\frac{0 - 0}{4-(-4)}=\frac{0}{8}=0$.

Answer:

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