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To find the rate of change of the function shown on the graph, you can determine the slope of the line. The slope is calculated using two points on the line, by using the formula:

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

From the graph, let's choose two points that the line passes through. The two points on the graph appear to be:

1. \( (-4, 6) \)
2. \( (2, -6) \)

Using these points, we can substitute into the slope formula:

\[
\text{slope} = \frac{-6 - 6}{2 - (-4)} = \frac{-12}{2 + 4} = \frac{-12}{6} = -2
\]

Thus, the rate of change (or slope) of the function is \( -2 \).

Would you like any additional details or further clarification?

Here are 5 related questions:
1. How do you find the slope of a line between two points?
2. What does a negative slope tell you about the direction of a line?
3. How can you identify the y-intercept of a line from its graph?
4. What is the difference between rate of change and slope?
5. How would the slope formula change for a vertical or horizontal line?

**Tip:** The rate of change of a linear function is constant and can always be found using any two points on the line!

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

Identify the rate of change of a linear function by using the slope formula. Learn how to calculate the slope from the graph by selecting two points and applying the formula. Suitable for students in Grades 8-10.

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