https://file.aiquickdraw.com/mathbot/file/1728418352355mi0x9jyu.jpg

The equation given in the image is \( y = -x - 4 \). Let's find the intercepts.

### 1. **Finding the x-intercept:**
The x-intercept occurs when \( y = 0 \). So, set \( y = 0 \) in the equation and solve for \( x \):
\[
0 = -x - 4
\]
\[
x = -4
\]
Thus, the **x-intercept** is \( (-4, 0) \).

### 2. **Finding the y-intercept:**
The y-intercept occurs when \( x = 0 \). So, set \( x = 0 \) in the equation:
\[
y = -0 - 4
\]
\[
y = -4
\]
Thus, the **y-intercept** is \( (0, -4) \).

So the answers are:
- **x-intercept**: \( (-4, 0) \)
- **y-intercept**: \( (0, -4) \)

Would you like further details or have any questions? Here are some related practice problems:

1. How do you find intercepts for a more complex linear equation, like \( y = 2x + 3 \)?
2. What is the slope of the line represented by \( y = -x - 4 \)?
3. How do you graph a line using its intercepts?
4. What happens to the intercepts if the equation is \( y = 0.5x - 2 \)?
5. How would the intercepts change if you had an equation like \( y = -x + 2 \)?

**Tip**: Always set the other variable to zero when finding intercepts!

Given the equation y = -x - 4, find the x and y intercepts.

Learn how to find the x and y intercepts of the linear equation y = -x - 4. This problem involves algebraic concepts and graphing techniques, making it ideal for students in Grades 7-10. We walk you through the solution step-by-step.

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