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What is the rate of change of the linear function? Simplify your final answer and type as a fraction if necessary.

To find the rate of change (or slope) of the linear function, we can use two points on the line and apply the slope formula:

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

From the graph, I can identify two points that the line passes through:

- Point 1: \((-2, 0)\)
- Point 2: \((2, 4)\)

Now, let's calculate the slope \(m\):

\[
m = \frac{4 - 0}{2 - (-2)} = \frac{4}{4} = 1
\]

So, the rate of change of the linear function is \(1\).

Would you like more details, or do you have any questions?

Here are some related questions you might find helpful:

1. What is the equation of the line using the slope-intercept form?
2. How do you find the y-intercept of a linear function from a graph?
3. What does the slope of a linear function represent in real-world problems?
4. Can the slope of a line be negative? If so, what does that indicate?
5. How do you find the slope between two points algebraically without a graph?

**Tip**: The slope of a line indicates how much \(y\) changes for a unit change in \(x\). A positive slope means the line is increasing, while a negative slope indicates a decreasing line.

Learn how to find the rate of change (or slope) of a linear function from a graph. This problem explains key algebraic concepts, including identifying points on a graph and using the slope formula m = (y2 - y1) / (x2 - x1). Suitable for students in Grades 7-9.

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