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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?

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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.

What is the y-intercept of the following function?

9x - 5y = -45

Learn how to find the y-intercept of the linear equation 9x - 5y = -45. This solution covers key algebraic concepts and includes a step-by-step approach suitable for Grades 8-10.

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