Let's rewrite the function $f(x) = 3 - \frac{3}{4}x$ in the standard form of a linear equation, which is:

$f(x) = mx + b$

where $m$ represents the slope, and $b$ represents the y-intercept.

Step 1: Identify the slope and y-intercept

The given equation is: $f(x) = 3 - \frac{3}{4}x$

We can rewrite it as: $f(x) = -\frac{3}{4}x + 3$

Step 2: Extract the values

Comparing this with $f(x) = mx + b$:

• The slope $m$ is $-\frac{3}{4}$.
• The y-intercept $b$ is 3.

Answer

• The slope is $-\frac{3}{4}$.
• The y-intercept is 3.

Would you like further details or have any questions?

Here are 5 related questions:

1. How do you find the slope from different forms of linear equations?
2. How does changing the slope affect the steepness of a line?
3. What does a negative slope mean for the direction of a line?
4. How can you identify the y-intercept from a graph?
5. How do you convert between slope-intercept and standard form of a linear equation?

Tip: Always compare your equation with $y = mx + b$ to quickly identify the slope and y-intercept.