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The given function is \( f(x) = 3 - 6x \), which is a linear equation in the slope-intercept form \( f(x) = mx + b \), where:

- \( m \) is the slope,
- \( b \) is the y-intercept.

For this function:
- The slope \( m = -6 \),
- The y-intercept \( b = 3 \).

### Steps to graph:
1. **Plot the y-intercept**: The point where the line crosses the y-axis is \( (0, 3) \).
2. **Use the slope**: The slope \( m = -6 \) means for every 1 unit you move to the right (positive x-direction), you move 6 units down (negative y-direction). Starting from \( (0, 3) \), move to the point \( (1, -3) \).
3. **Draw the line**: Connect the points \( (0, 3) \) and \( (1, -3) \) with a straight line, and extend it in both directions.

This will give you the graph of the function.

Would you like me to draw the graph for you? If yes, I can generate an image.

### Questions:
1. What is the significance of the slope in a linear equation?
2. How do we interpret the y-intercept in real-world problems?
3. How does changing the slope affect the steepness of the line?
4. What happens to the graph if the y-intercept changes?
5. Can you find the x-intercept of the given function?

### Tip:
To find the x-intercept of any function, set \( f(x) = 0 \) and solve for \( x \).

Learn how to graph the linear function f(x) = 3 - 6x. This example covers the slope-intercept form, slope calculation, and finding the y-intercept. Suitable for students in Grades 8-10.

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