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.