To find the y-intercept of the function $9x - 5y = -45$, we need to determine the value of $y$ when $x = 0$.

Solution:

1. Substitute $x = 0$ into the equation: $9(0) - 5y = -45$ This simplifies to: $-5y = -45$

2. Solve for $y$: $y = \frac{-45}{-5} = 9$

Answer:

The y-intercept is $y = 9$.

The correct choice is:

• y = 9

Would you like further details or have any questions?

Here are five related questions to expand your understanding:

1. How do you find the x-intercept of a linear function?
2. What is the slope of this function, and how is it calculated?
3. How would the y-intercept change if the equation were $9x - 5y = 45$?
4. How can this equation be rewritten in slope-intercept form $y = mx + b$?
5. What are the steps to graph this equation using the intercepts?

Tip: To find intercepts, set the opposite variable to zero and solve for the remaining variable.