We are given the equation:

\[
8x + 12y = -96
\]

To convert this equation to **slope-intercept form** \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept, follow these steps:

### Step 1: Isolate the \( y \)-term
First, subtract \( 8x \) from both sides:

\[
12y = -8x - 96
\]

### Step 2: Solve for \( y \)
Now, divide both sides by 12 to solve for \( y \):

\[
y = \frac{-8x - 96}{12}
\]

### Step 3: Simplify
Simplify the terms on the right-hand side:

\[
y = \frac{-8}{12}x - \frac{96}{12}
\]

This simplifies to:

\[
y = -\frac{2}{3}x - 8
\]

### Final equation in slope-intercept form:
\[
y = -\frac{2}{3}x - 8
\]

So, the slope \( m \) is \( -\frac{2}{3} \), and the y-intercept \( b \) is \( -8 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you find the slope from an equation in standard form?
2. What is the significance of the y-intercept in the slope-intercept form?
3. How can you graph an equation using the slope and y-intercept?
4. Can all linear equations be written in slope-intercept form?
5. What are the differences between standard form and slope-intercept form?

**Tip**: When simplifying fractions, always check if both the numerator and denominator can be divided by the same factor.

Learn how to convert the linear equation 8x + 12y = -96 into slope-intercept form (y = mx + b). This problem covers key algebra concepts, such as isolating y, simplifying fractions, and identifying slope and y-intercept. Suitable for Grades 8-10.

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