The equation given is:

$y = -1$

This is a horizontal line where $y$ is always $-1$, regardless of the value of $x$.

Slope

For a horizontal line, the slope is always $0$ because there is no change in $y$ as $x$ changes. Mathematically, slope $m = 0$.

Y-Intercept

The y-intercept is the point where the line crosses the y-axis. Here, since $y = -1$ at all points, the y-intercept occurs at $(0, -1)$.

Summary:

• Slope: $m = 0$
• Y-Intercept: $(0, -1)$

Would you like further details or have any questions?

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1. How would you determine the slope for a vertical line?
2. What are the characteristics of lines with undefined slopes?
3. How can you identify the slope and intercepts of any linear equation in standard form?
4. What is the significance of a zero slope in real-world scenarios?
5. How would a horizontal line's equation change if the y-intercept were different?

Tip: For horizontal lines, the equation will always be in the form $y = c$, where $c$ is a constant. The slope will always be zero.