The function you've given is:

\[
f(x) = 4x - 9
\]

This is a linear function with slope 4 and y-intercept -9. Here's what we can deduce:

- **Slope (m):** The coefficient of \(x\), which is 4. This means for every unit increase in \(x\), \(f(x)\) increases by 4.
- **Y-intercept (b):** The constant term is -9. This means when \(x = 0\), \(f(x) = -9\).

If you'd like to evaluate this function at a specific point, for example \(x = a\), substitute \(a\) into the function:

\[
f(a) = 4a - 9
\]

Would you like to evaluate it for a specific value of \(x\), or explore something else about this function?

Here are five related questions:
1. What is \(f(2)\) for this function?
2. How would you find the x-intercept of \(f(x)\)?
3. What is the inverse of \(f(x)\)?
4. How does the graph of \(f(x) = 4x - 9\) compare to \(f(x) = x - 9\)?
5. How would you solve \(f(x) = 0\)?

**Tip:** The slope of a linear function determines how steep its graph is. The larger the slope, the steeper the line.

Explore the linear function f(x) = 4x - 9, which involves understanding slope and y-intercept. Learn how to find the slope, y-intercept, and evaluate the function for specific values of x. Suitable for students in Grades 6-8 studying algebra and linear functions.

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