The graph of the equation \(4y - 12 = -6x\) is shown above. The line passes through the y-intercept at \((0, 3)\) and the x-intercept at \((2, 0)\).

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Here are 5 related questions to explore further:

1. What is the difference between the standard form and the slope-intercept form of a linear equation?
2. How do you determine the slope of a line from two points on the line?
3. How can you graph an equation if it's given in the standard form \(Ax + By = C\)?
4. How do you find the equation of a line given its slope and a point on the line?
5. What changes occur to the graph if the slope is altered while keeping the intercept constant?

**Tip:** To find intercepts easily, set one variable to zero and solve for the other. This is especially helpful when graphing lines.

Explore the graph of the linear equation 4y - 12 = -6x with detailed insights into its y-intercept at (0, 3) and x-intercept at (2, 0). Learn to interpret linear equations graphically. Suitable for Grades 7-9 students.

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