The given equation is:

\[ 3x - 2y = 6 \]

If you'd like, I can help you solve this equation in multiple ways, such as:

1. Solve for \(y\) in terms of \(x\) (finding the slope-intercept form).
2. Solve for \(x\) in terms of \(y\).
3. Plot the equation graphically.
4. Use this equation in a system of equations if you have another one.

Which of these would you prefer, or do you have a different method in mind?

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Here are 5 related questions to expand on this topic:

1. What is the slope of the line represented by the equation \(3x - 2y = 6\)?
2. How would you find the intercepts of this line with the x-axis and y-axis?
3. Can you rewrite this equation in slope-intercept form?
4. If we had a second equation, how would you solve the system?
5. How can you determine if a point lies on the line represented by this equation?

**Tip:** When solving linear equations, isolating one variable often simplifies the process.

Explore how to solve the linear equation 3x - 2y = 6. Learn how to rewrite it in slope-intercept form, find the slope, and graph it. This problem covers essential algebraic concepts suitable for students in Grades 8-10.

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