Question

what is the slope of the line segment ab? 2/3 3/2 1/3 -2/3

Explanation:

Step1: Recall slope formula

The slope $m$ of a line segment with two - points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify rise and run

From the graph, moving from point A to point B, the rise (change in y - value) is 2 units and the run (change in x - value) is 3 units.

Step3: Calculate slope

Since slope $m=\frac{\text{rise}}{\text{run}}$, and rise = 2, run = 3, the slope of line segment AB is $\frac{2}{3}$.

Answer:

A. $\frac{2}{3}$