The equation \( y = -5 \) represents a horizontal line. This line is defined as being at the constant value of \( y = -5 \) for all values of \( x \).
Here are some characteristics of this line:
- Horizontal Line: The line runs parallel to the x-axis.
- Y-Intercept: It intersects the y-axis at the point \((0, -5)\).
- X-Intercept: The graph does not intersect the x-axis since the value of \( y \) is always -5 and cannot be 0.
- Slope: The slope of this line is 0, indicating that there is no vertical change as \( x \) changes.
In summary, this graph is a horizontal line located at \( y = -5 \) and does not cross the x-axis.
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