Find the x- and y-intercepts of the graph of 7, x, minus, 9, y, equals, 357x−9y=35. State each answer as an integer or an improper fraction in simplest form.

To find the x- and y-intercepts of the equation \(7x - 9y = 35\):

1. **X-intercept**: Set \(y = 0\):
   \[
   7x - 9(0) = 35 \implies 7x = 35 \implies x = 5.
   \]
   So, the x-intercept is \((5, 0)\).

2. **Y-intercept**: Set \(x = 0\):
   \[
   7(0) - 9y = 35 \implies -9y = 35 \implies y = -\frac{35}{9}.
   \]
   So, the y-intercept is \(\left(0, -\frac{35}{9}\right)\).

### Summary
- X-intercept: \((5, 0)\)
- Y-intercept: \(\left(0, -\frac{35}{9}\right)\)

Do you want details on the process, or do you have any questions? 

Here are some related questions:
1. How do you find intercepts for other types of equations?
2. Can you graph this equation using the intercepts?
3. What does the slope of the line represent?
4. How would the intercepts change if the equation were different?
5. Can you explain why the y-intercept is negative? 

**Tip:** Always set one variable to zero when finding intercepts.

Find the x- and y-intercepts of the graph of 7x - 9y = 35. State each answer as an integer or an improper fraction in simplest form.

Discover how to find the x- and y-intercepts of the equation 7x - 9y = 35 with detailed steps. This lesson covers key algebra concepts and provides both integer and fraction results. Ideal for Grades 7-9.

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