Thus, the rate of change for the graphed function is 2.
Observing the given graph, we can see that the line passes through the points (0,6) and (1.5,0). We can move from one point to the other by taking one horizontal step, Δx, followed by a vertical step, Δy.
We can in the graph see that the horizontal step we take is 1.5, making Δx=1.5. The vertical step is down 6 units. Moving down makes the step negative. Therefore, Δy=-6. We find the rate of change using this relationship.
Let's use the values we have found to calculate the rate of change.