The given equation is:

$2x + 3y = 12$

This is a linear equation in two variables, $x$ and $y$. There are several things we can do with this equation, such as:

1. Solving for one variable in terms of the other: We can express $y$ in terms of $x$ or $x$ in terms of $y$.
2. Finding intercepts: We can find the x-intercept and y-intercept by setting $y = 0$ and $x = 0$, respectively.
3. Graphing the line: This equation can be represented as a straight line on the coordinate plane.

Let's solve for $y$ in terms of $x$:

$2x + 3y = 12$ Subtract $2x$ from both sides: $3y = 12 - 2x$ Now, divide by 3: $y = \frac{12 - 2x}{3}$ Simplifying: $y = 4 - \frac{2}{3}x$

This is the equation of the line in slope-intercept form $y = mx + b$, where the slope $m = -\frac{2}{3}$ and the y-intercept is $4$.

Would you like more details or a graphical representation of this line?

Here are 5 related questions:

1. What is the x-intercept of this line?
2. How do we graph this equation on a coordinate plane?
3. Can we solve for $x$ in terms of $y$?
4. What is the slope of this line and what does it represent?
5. How would this equation change if we added a constant to both sides?

Tip: To graph a line, find at least two points by setting one variable to 0 and solving for the other.