I can see that you've uploaded an image containing a graph and some instructions related to calculating the average rate of change. Let me analyze and guide you through solving the problem.

The problem asks you to find:

1. Δy (the change in $y$-values),
2. Δx (the change in $x$-values), and
3. The average rate of change (which is $\frac{\Delta y}{\Delta x}$).

Looking at the graph:

• You must identify the coordinates of the two points on the graph that the secant line passes through. These points appear to be marked.
• Subtract the $y$-coordinates to find $\Delta y$, and subtract the $x$-coordinates to find $\Delta x$.

If you provide the exact coordinates of the two points, I can calculate it for you. Alternatively, I can help guide you on interpreting the graph further. Would you like to proceed this way or clarify anything?

Follow-up Questions:

1. Are the two points clearly identified on your secant line?
2. Do you need a refresher on how to subtract coordinates to find $\Delta x$ and $\Delta y$?
3. Would you like a quick explanation of the concept of the average rate of change?
4. Do you want me to verify the answer for you once you've attempted it?
5. Would you like additional practice on similar problems?

Tip:

To calculate the average rate of change, always ensure the points are correct and carefully subtract in the right order ($\Delta y = y_2 - y_1$ and $\Delta x = x_2 - x_1$).