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You are given the equation of a line: 

\[
12x + 4y = 4
\]

### Step 1: Convert to slope-intercept form
The slope-intercept form of a line is:

\[
y = mx + b
\]

where \( m \) is the slope and \( b \) is the y-intercept. 

To rewrite the given equation in this form, solve for \( y \):

1. Start with the original equation:
   \[
   12x + 4y = 4
   \]
   
2. Subtract \( 12x \) from both sides:
   \[
   4y = -12x + 4
   \]

3. Divide through by 4 to isolate \( y \):
   \[
   y = -3x + 1
   \]

### Step 2: Identify the slope and y-intercept
From the equation \( y = -3x + 1 \):
- The slope \( m \) is \( -3 \).
- The y-intercept \( b \) is \( 1 \).

### Final Answer:
- **Slope**: \( -3 \)
- **Y-intercept**: \( 1 \)

Would you like more details or have any questions?

Here are some related questions to explore further:
1. What does the slope of \( -3 \) tell you about the line's direction?
2. How do you find the x-intercept of a line from its equation?
3. How would the graph of this line look like?
4. What happens to the slope if the equation is multiplied by a constant?
5. How does the slope-intercept form relate to other forms of a line's equation?

**Tip:** Always isolate \( y \) when converting to slope-intercept form!

Find the slope and the y-intercept of the line: 12x + 4y = 4.

Learn how to find the slope and y-intercept of the linear equation 12x + 4y = 4 by converting it into slope-intercept form. This problem explores key algebraic concepts and formulas. Suitable for students in Grades 8-10.

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