Question

what is the slope of the black line segment on the graph? -2/3 2/3 3 -2

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{\Delta y}{\Delta x}$, where $\Delta y$ is the change in y - values and $\Delta x$ is the change in x - values.

Step2: Identify $\Delta y$ and $\Delta x$

From the graph, if we consider two points on the line segment, the vertical change (rise) $\Delta y = 2$ and the horizontal change (run) $\Delta x=3$.

Step3: Calculate the slope

$m = \frac{\Delta y}{\Delta x}=\frac{2}{3}$.

Answer:

B. 2/3