Question

find the slope of the line x = 2. 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 $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.

Step2: Analyze line $x=2$

For $x=2$, all points have $x=2$, so $x_2-x_1=2-2=0$.

Step3: Evaluate slope

Division by 0 is undefined, so the slope is undefined.

Answer:

B. The slope is undefined.