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To find the slope and y-intercept of the given linear equation \( x + y = -6 \), let's solve this equation in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept:

### Step 1: Rewrite the equation in slope-intercept form.
The given equation is:
\[
x + y = -6
\]

To solve for \( y \):
\[
y = -x - 6
\]

### Step 2: Identify the slope and y-intercept.
Now, the equation is in the form \( y = mx + b \):
- The slope (\( m \)) is \(-1\).
- The y-intercept (\( b \)) is \(-6\).

### Final Answer:
- **The slope is** \(-1\).
- **The y-intercept is** \(-6\).

Would you like more details or have any questions?

Here are some related questions to explore:
1. How would you find the x-intercept of the line \( x + y = -6 \)?
2. What is the graph of the equation \( y = -x - 6 \) like, and how does the slope affect it?
3. How can you verify if a point lies on the line \( x + y = -6 \)?
4. What is the difference between the slope-intercept form and standard form of a line?
5. How does changing the value of \( b \) affect the graph of a line?

**Tip:** To find the slope in equations like \( Ax + By = C \), you can use the formula \( m = -\frac{A}{B} \).

Find the slope and the y-intercept of the graph of the linear equation x + y = -6.

Learn how to find the slope and y-intercept of the linear equation x + y = -6. This problem uses key algebraic concepts like the slope-intercept form y = mx + b and solving for y to identify the slope and y-intercept.

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