The given equation is:

$4x + 3y = 12$

This is a linear equation in two variables, $x$ and $y$. Here's what we can do with this equation:

Solve for $y$ in terms of $x$:

1. Subtract $4x$ from both sides: $3y = 12 - 4x$
2. Divide both sides by 3 to solve for $y$: $y = \frac{12 - 4x}{3}$ Simplifying the right-hand side: $y = 4 - \frac{4}{3}x$

So, $y = 4 - \frac{4}{3}x$ is the equation in slope-intercept form ($y = mx + b$), where the slope is $-\frac{4}{3}$ and the y-intercept is 4.

Would you like to solve for $x$ in terms of $y$, graph the equation, or ask anything specific about this equation?

Here are 5 related questions you might find useful:

1. How do we find the slope of a line from a linear equation?
2. What is the interpretation of the slope in a linear equation?
3. How can we determine the x- and y-intercepts from this equation?
4. Can we solve this equation using substitution or elimination with another equation?
5. How would we graph this equation step-by-step?

Tip: The slope tells you how much the value of $y$ changes for every unit increase in $x$.