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.