Question

find the slope of the line.
x = - 6
select the correct choice below and fill in any answer boxes within 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 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: Analyze the line $x=-6$

The line $x = - 6$ is a vertical line. For any two points on this line, say $(-6,y_1)$ and $(-6,y_2)$, when we substitute into the slope - formula: $m=\frac{y_2 - y_1}{-6-(-6)}=\frac{y_2 - y_1}{0}$. Division by zero is undefined.

Answer:

B. The slope is undefined.