Question

select the answer that best completes the given statement. the slope of a vertical line is

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: Consider points on vertical line

For a vertical line, all $x -$coordinates are the same. Let the two points be $(x_1,y_1)$ and $(x_1,y_2)$ (where $x_1$ is constant). Then the denominator $x_2 - x_1=x_1 - x_1 = 0$.

Step3: Determine slope value

Since division by zero is undefined, the slope of a vertical line is undefined.

Answer:

Undefined