Question

find the slope of the line passing through the pair of points or state that the slope is undefined. then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (8, - 8) and (8, - 5)
select the correct choice below and fill in the answer box within your choice.
a. the slope is □ (simplify your answer.)
b. the slope is undefined.
indicate whether the line through the points rises, falls, is horizontal, or is vertical.
the line is vertical.
the line is horizontal.
the line falls from left to right.
the line rises from left to right.

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, the points are $(0,0)$ and $(0, - 5)$, so $x_1 = 0,y_1=0,x_2 = 0,y_2=-5$.

Step2: Calculate the slope

Substitute the values into the formula: $m=\frac{-5 - 0}{0 - 0}=\frac{-5}{0}$. Division by zero is undefined, so the slope is undefined.

Step3: Determine the line type

A line with an undefined slope is a vertical line.

Answer:

B. The slope is undefined
A. The line is vertical