Find the intercepts of the equation -x-3y=18-x-3y=18

It looks like there might be a typo in the equation you've provided, as it appears to repeat itself. I'll assume you meant to write the equation as \(-x - 3y = 18\). If that's correct, I can help you find the intercepts.

### 1. **Finding the x-intercept:**

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

\[
-x - 3(0) = 18
\]

\[
-x = 18 \quad \Rightarrow \quad x = -18
\]

So, the x-intercept is \((-18, 0)\).

### 2. **Finding the y-intercept:**

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

\[
-(0) - 3y = 18
\]

\[
-3y = 18 \quad \Rightarrow \quad y = -6
\]

So, the y-intercept is \((0, -6)\).

### Final Answer:

- The **x-intercept** is \((-18, 0)\).
- The **y-intercept** is \((0, -6)\).

Would you like a detailed explanation of how these intercepts were found or have any other questions?  

Here are 5 related questions:

1. How do you find the intercepts of a quadratic equation?
2. What do the intercepts represent in the graph of a function?
3. How would the intercepts change if the equation was \(x + 3y = -18\)?
4. How can intercepts be used to graph a linear equation?
5. What is the significance of the slope in a linear equation like this?

**Tip:** When finding intercepts, remember to set the other variable to zero and solve for the remaining variable.

Learn how to find the x-intercept and y-intercept of the linear equation -x - 3y = 18 with a detailed step-by-step solution. This problem covers key algebraic concepts related to linear equations and intercepts. Suitable for students in Grades 7-9.

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