Question

tell whether the slope of the line is positive, negative, zero, or undefined. a. negative b. positive c. undefined d. zero

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: Identify points on vertical line

For a vertical line like the one in the graph, all $x -$ values are the same. Let two points be $(x,y_1)$ and $(x,y_2)$. Then the slope $m=\frac{y_2 - y_1}{x - x}$.

Step3: Analyze the denominator

The denominator $x - x=0$. Division by zero is undefined. So the slope of a vertical line is undefined.

Answer:

C. undefined