The graph of the equation \( y = -1 \) is a horizontal line.

- Since the equation \( y = -1 \) does not depend on \( x \), the value of \( y \) remains constant at \( -1 \) for all values of \( x \).
- This results in a straight, horizontal line passing through \( (x, -1) \) for all values of \( x \).

In summary:
- The line crosses the \( y \)-axis at \( y = -1 \).
- The slope of the line is 0, meaning it is perfectly flat and horizontal.

Would you like to see a detailed graph or have further explanations?

Here are some related questions:
1. How would the graph change for \( y = c \), where \( c \) is a constant?
2. What is the slope of a horizontal line, and how is it calculated?
3. How do vertical lines differ from horizontal ones in terms of their equations?
4. What happens to the graph if we add a term involving \( x \), like \( y = -1 + 2x \)?
5. How does the graph of \( y = -1 \) compare to the graph of \( y = x \)?

**Tip**: Horizontal lines always represent equations where the value of \( y \) remains constant, regardless of \( x \).

Understand how to graph the linear equation y = -1, which results in a horizontal line passing through all values of x at y = -1. This problem introduces key concepts in linear equations and graphing, and is suitable for students in Grades 6-8.

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