Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points

Let the two points on the line be $(0, 2)$ and $(0, - 3)$.

Step2: Use slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1=2,x_2 = 0,y_2=-3$. Then $m=\frac{-3 - 2}{0 - 0}$, but division by zero is undefined. Since the $x$-coordinates of the two - points are the same, this is a vertical line. The slope of a vertical line is undefined.

Answer:

Undefined