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The given function is:

\[
f(x) = \frac{5}{2}x - 10
\]

This is a linear function in the form \( f(x) = mx + b \), where:

- \( m = \frac{5}{2} \) is the slope of the line.
- \( b = -10 \) is the y-intercept.

### Key aspects:
- **Slope (m)**: For every 1 unit increase in \( x \), \( f(x) \) increases by \( \frac{5}{2} \) units.
- **Y-intercept (b)**: When \( x = 0 \), the function value is \( f(0) = -10 \).

Would you like me to solve a specific problem related to this function (e.g., finding roots, graphing, or discussing its properties)?

Here are 5 questions that could follow from this:

1. What is the x-intercept of the function \( f(x) \)?
2. How would you graph this linear function?
3. Can we solve for \( x \) when \( f(x) = 0 \)?
4. What are the domain and range of this function?
5. How does changing the slope or y-intercept affect the function?

### Tip:
When working with linear functions, always pay close attention to the slope and y-intercept as they directly determine the behavior and position of the line in the coordinate plane.

Explore the linear function f(x) = (5/2)x - 10. Learn how to determine the slope, y-intercept, and how the function behaves. This topic is suitable for students in Grades 8-10 and focuses on linear algebra concepts such as slope and intercepts.

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