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The graph provided shows a straight line passing through two points. To identify the rate of change (slope) of the function, we use the formula for the slope between two points \((x_1, y_1)\) and \((x_2, y_2)\):

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Let's choose two clear points on the line from the graph:

- Point 1: \((-3, -5)\)
- Point 2: \((3, 5)\)

Now, apply the slope formula:

\[
m = \frac{5 - (-5)}{3 - (-3)} = \frac{5 + 5}{3 + 3} = \frac{10}{6} = \frac{5}{3}
\]

Thus, the rate of change (slope) of the function is \(\frac{5}{3}\).

Would you like more details or have any other questions?

Here are some related questions for further practice:
1. How do you interpret the slope of a line in real-world scenarios?
2. What does it mean when the slope of a line is positive, negative, zero, or undefined?
3. How can you calculate the slope of a vertical or horizontal line?
4. What is the equation of a line with a slope of \(\frac{5}{3}\) and a y-intercept of 2?
5. How would the graph change if the slope were \(\frac{2}{3}\)?

**Tip:** Always pick points that are clearly visible and easy to read from the graph to avoid errors in calculating the slope.

The graph of a function is shown on the coordinate plane below. Identify the rate of change of the function.

Learn how to calculate the rate of change (slope) from a graph. This problem uses a linear function and applies the slope formula between two points to find the answer. Suitable for students in Grades 8-10.

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