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.