Question

determine the slope of the line segment ab in the given figure. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the slope of the line segment ab is -3. b. the slope of the line segment ab is undefined.

Explanation:

Step1: Recall slope formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify points A and B coordinates

From the graph, assume $A(x_1,y_1)$ and $B(x_2,y_2)$. Let's say $A(1,2)$ and $B(0,5)$.

Step3: Calculate the slope

$m=\frac{5 - 2}{0 - 1}=\frac{3}{-1}=- 3$.

Answer:

A. The slope of the line segment AB is -3.