The equation $y = 9mx - 7b$ is a linear equation in slope-intercept form, $y = mx + c$, where:

• $y$ is the dependent variable.
• $x$ is the independent variable.
• $9m$ is the slope of the line.
• $-7b$ is the y-intercept (the value of $y$ when $x = 0$).

This form suggests that both the slope and y-intercept are dependent on the constants $m$ and $b$. Specifically:

• The slope of the line is $9m$.
• The y-intercept is $-7b$.

Would you like a detailed exploration of how to graph this equation or further manipulation for different values of $m$ and $b$?

Here are 5 related questions to deepen your understanding:

1. What is the significance of the slope $9m$ in this equation?
2. How does changing $m$ affect the steepness of the line?
3. What happens to the line when $b = 0$?
4. Can you solve for $x$ in terms of $y$, $m$, and $b$?
5. What would the equation look like if you set $m = 1$ and $b = 1$?

Tip: The slope $9m$ controls how fast the line rises or falls. A higher slope means the line is steeper.