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.