https://file.aiquickdraw.com/mathbot/file/1730321869852ljnj3xlw.jpg

To find the x- and y-intercepts of the equation \(9x + y = 25\), let's go through the steps:

### 1. Finding the x-intercept
To find the x-intercept, set \(y = 0\) in the equation and solve for \(x\):

\[
9x + 0 = 25
\]
\[
9x = 25
\]
\[
x = \frac{25}{9}
\]

So, the x-intercept is \(\frac{25}{9}\).

### 2. Finding the y-intercept
To find the y-intercept, set \(x = 0\) in the equation and solve for \(y\):

\[
9 \cdot 0 + y = 25
\]
\[
y = 25
\]

So, the y-intercept is \(25\).

### Final Answer
- **x-intercept**: \(\frac{25}{9}\)
- **y-intercept**: \(25\)

Would you like further details on this process or have any additional questions?

---

Here are some related questions to consider:
1. How would you find the intercepts if the equation was in a different form, like \(Ax + By = C\)?
2. What does it mean graphically to find the intercepts of a line?
3. How would you convert this linear equation into slope-intercept form?
4. How would the intercepts change if the equation had different coefficients?
5. What are the steps to check your intercepts are correct after finding them?

**Tip**: Always double-check your intercepts by substituting them back into the original equation to confirm they satisfy it.

Find the x- and y-intercepts of the graph of 9x + y = 25. State each answer as an integer or an improper fraction in simplest form.

Learn how to find the x- and y-intercepts of the linear equation 9x + y = 25. This guide includes a step-by-step solution for calculating intercepts by setting one variable to zero and solving for the other. Perfect for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation