Find the slope and the​ y-intercept of the line with the given equation.
​f(x)equals3minusthree fourths
x

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.

Find the slope and the​ y-intercept of the line with the given equation: f(x) = 3 - (3/4)x.

Learn how to find the slope and y-intercept of the linear equation f(x) = 3 - (3/4)x. This step-by-step solution explains key algebraic concepts such as the slope-intercept form and how to extract the slope and y-intercept. Suitable for students in Grades 7-9.

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