The equation you've given is:

\[
y = \frac{3}{2}x - 9
\]

This is a linear equation in slope-intercept form, \( y = mx + b \), where:
- \( m \) is the slope of the line, and
- \( b \) is the y-intercept.

For your equation:
- The slope \( m \) is \( \frac{3}{2} \), meaning the line rises 3 units for every 2 units it moves to the right.
- The y-intercept \( b \) is \(-9\), meaning the line crosses the y-axis at \( y = -9 \).

### Key Points:
1. The slope \( \frac{3}{2} \) indicates that for every 2 units of horizontal movement, the line increases by 3 units vertically.
2. The y-intercept \( -9 \) means that the line passes through the point \( (0, -9) \) on the y-axis.

Would you like more details, or have any questions?

Here are 5 related questions you might consider:
1. How do you find the x-intercept of the line?
2. What is the general form of a linear equation?
3. How do you graph this equation on the coordinate plane?
4. What is the significance of the slope in this equation?
5. How do parallel and perpendicular lines relate to this slope?

**Tip:** The slope of a line can be positive, negative, zero, or undefined. A positive slope, like in this case, means the line increases from left to right.

Explore the linear equation y = 3/2x - 9 with a breakdown of slope, y-intercept, and key algebraic concepts. Learn how to interpret and graph this equation, ideal for students in Grades 7-9.

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