Select the correct answer. What is the slope of the line represented by the equation f(x)=(3)/(2)x-4 -4 -(3)/(2) (3)/(2) 4

The equation of the line is given in slope-intercept form:

$$f(x) = \frac{3}{2}x - 4$$

In the slope-intercept form of a linear equation, $f(x) = mx + b$, the coefficient of $x$ (denoted as $m$) represents the **slope** of the line.

Here, the coefficient of $x$ is $\frac{3}{2}$. Therefore, the slope of the line is:

$$\boxed{\frac{3}{2}}$$