The given equation is:

\[
4x - 3y = 9
\]

This is a linear equation in two variables, \(x\) and \(y\). We can solve for either variable in terms of the other. Let’s solve for \(y\) in terms of \(x\):

1. Start by isolating \(y\):
\[
-3y = 9 - 4x
\]

2. Divide both sides by \(-3\):
\[
y = \frac{4x - 9}{3}
\]

So, the equation in terms of \(y\) is:
\[
y = \frac{4x - 9}{3}
\]

Would you like more details or have any questions?

### Related Questions:
1. How would you graph the equation \(4x - 3y = 9\)?
2. What happens if you set \(x = 0\) and solve for \(y\)?
3. How do you solve a system of two linear equations involving \(x\) and \(y\)?
4. Can you find the slope and intercept of the equation \(4x - 3y = 9\)?
5. How does the slope of a line relate to its equation?

**Tip:** To graph a linear equation, convert it to the slope-intercept form \(y = mx + b\).

Discover how to solve the linear equation 4x - 3y = 9 by isolating y in terms of x and converting it into slope-intercept form. This step-by-step guide explores linear equations, the slope-intercept theorem, and algebraic manipulation. Ideal for students in Grades 8-10.

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