Question

find the slope of the line x = 8. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the slope is (type an integer or a simplified fraction.) b. the slope is undefined.

Explanation:

Step1: Recall slope formula

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

Step2: Analyze the line $x = 8$

The line $x=8$ is a vertical line. For any two points on this line, say $(8,y_1)$ and $(8,y_2)$, when we substitute into the slope - formula, we get $m=\frac{y_2 - y_1}{8 - 8}=\frac{y_2 - y_1}{0}$. Division by zero is undefined.

Answer:

B. The slope is undefined.