The function you've given is:

\[
f(x) = -\frac{3}{2}x + 14
\]

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

- \(m = -\frac{3}{2}\) is the slope of the line.
- \(b = 14\) is the y-intercept of the line.

### Key Features:

1. **Slope**: The slope \(-\frac{3}{2}\) indicates that for every 2 units increase in \(x\), \(f(x)\) decreases by 3 units. The negative sign shows that the line is decreasing.
2. **Y-intercept**: The line crosses the y-axis at \( (0, 14) \).

### Graph of the Function:
If you were to graph this function, it would be a straight line that crosses the y-axis at \(14\) and has a slope of \(-\frac{3}{2}\).

Would you like a graph of this function or further details on any specific part?

### Related Questions:

1. What is the x-intercept of this function?
2. How do we determine if two lines are parallel?
3. How can we find the perpendicular line passing through a specific point?
4. How do we solve for \(x\) when \(f(x) = 0\)?
5. How can we represent linear functions in different forms?

**Tip:** When dealing with linear equations, the slope is crucial in understanding the direction and steepness of the line.

Explore the linear function f(x) = -3/2x + 14. This problem covers key algebraic concepts like slope and y-intercept, helping students understand how to interpret and graph linear functions. Suitable for students in Grades 8-10.

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