Answer: Explained
Step-by-step explanation: We are to explain how to find the average rate of change using the graph.
In a graph, the average rate of change is given by the vertical change divided by the horizontal change between two points on a line.
Thus, the average rate of change is given by
[tex]R=\dfrac{\textup{vertical change}}{\textup{horizontal change}}.[/tex]
In the attached figure, consider the points P(1.5,1) and Q(0,2).
So, vertical change = 2 - 1 = 1,
and
horizontal change = 0 - 1.5 = -1.5.
Therefore, rate of change is
[tex]R=\dfrac{1}{-1.5}=-\dfrac{2}{3}.[/tex]
Hence, explained.
