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The graph you've provided represents a straight line. To determine the rate of change (which is the slope of the line), we can use the formula for slope:

\[
\text{slope} = \frac{\text{change in } y}{\text{change in } x} = \frac{y_2 - y_1}{x_2 - x_1}
\]

From the graph:
- One clear point is \( (0, 0) \), the origin.
- Another point is \( (16, 16) \).

Using these two points, the rate of change (slope) is:

\[
\text{slope} = \frac{16 - 0}{16 - 0} = \frac{16}{16} = 1
\]

Thus, the rate of change of the graph is **1**.

Would you like more details or have any questions?

Here are 5 related questions to expand on this concept:
1. How does the slope of a line indicate whether the line is increasing, decreasing, or constant?
2. How would the graph look if the slope were negative?
3. Can you determine the equation of this line?
4. What is the significance of the y-intercept in linear graphs?
5. How does the slope formula change when the line is vertical or horizontal?

**Tip:** The slope of a line tells you how steep the line is and in which direction it goes.

Determine the rate of change of the given graph.

Learn how to calculate the rate of change (slope) from a line graph. The problem involves using two points on the graph to apply the slope formula. Suitable for Grades 7-9 students studying linear equations.

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