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. (6, - 7) and (-4, - 7) select the correct choice below and, if necessary, fill in the answer box within your choice. a. the slope is 0. (simplify your answer.) b. the slope is undefined. indicate whether the line through the points rises, falls, is horizontal, or is vertical. a. the line is horizontal. b. the line falls from left to right. c. the line rises from left to right. d. the line is vertical.

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, $(x_1,y_1)=(6,-7)$ and $(x_2,y_2)=(-4,-7)$.

Step2: Substitute values

$m=\frac{-7-(-7)}{-4 - 6}=\frac{-7 + 7}{-4-6}=\frac{0}{-10}=0$.

Step3: Analyze line type

A line with slope $m = 0$ is horizontal.

Answer:

A. The slope is 0.
A. The line is horizontal.