The equation you've provided is a linear equation in slope-intercept form, which is given as:

\[ y = mx + b \]

Here:
- \( m = 8 \) is the slope of the line.
- \( b = -9 \) is the y-intercept, which is the point where the line crosses the y-axis.

This means that for every 1 unit increase in \( x \), \( y \) increases by 8 units. The line crosses the y-axis at \((0, -9)\).

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. What is the x-intercept of the line \( y = 8x - 9 \)?
2. How would the graph of \( y = 8x - 9 \) change if the slope were halved?
3. What is the equation of a line parallel to \( y = 8x - 9 \) passing through the point \( (2, 3) \)?
4. How would you find the intersection point of the line \( y = 8x - 9 \) with the line \( y = -2x + 4 \)?
5. What is the significance of the slope in the context of a real-world problem?

**Tip:** The slope of a line gives you the rate of change between the variables \( x \) and \( y \). In real-world problems, this can represent things like speed, cost per item, or any other rate.

Explore the linear equation y = 8x - 9, its slope, y-intercept, and practical applications. This problem introduces key algebraic concepts like linear equations, slope-intercept form, and graphical interpretation. Suitable for Grades 7-9 students.

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