Question

determine the slope of the line containing the given points. graph the line. (-4,1); (-4,-3) what is the slope of the line containing the points (-4,1) and (-4,-3)? select the correct choice and, if necessary, fill in the answer box within 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 formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $(x_1,y_1)=(-4,1)$ and $(x_2,y_2)=(-4,-3)$.

Step2: Substitute values

Substitute the values into the formula: $m=\frac{-3 - 1}{-4-(-4)}=\frac{-4}{-4 + 4}=\frac{-4}{0}$.

Step3: Determine slope

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

Answer:

B. The slope is undefined.