Question

find the slope of the line shown on the graph to the right. select the correct choice below and fill in any answer boxes within your choice. a. the slope of the line is 3. (simplify your answer. type an integer or a 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: Identify two points

Let the left - hand point be $(x_1,y_1)=(-2,3)$ and the right - hand point be $(x_2,y_2)=(4,3)$.

Step3: Calculate the slope

Substitute into the formula: $m=\frac{3 - 3}{4-(-2)}=\frac{0}{6}=0$.

Answer:

A. The slope of the line is $0$