For a horizontal line that goes through \( y = -3 \), the line can be described by the equation \( y = -3 \).
Slope
The slope of a horizontal line is always 0. This is because there is no vertical change (rise) as you move along the line in the horizontal direction (run); therefore,
\[ \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{0}{\text{run}} = 0. \]
What is true about the graph?
- Constant Y-value: The value of \( y \) remains constant at -3 for all values of \( x \). This means the line extends indefinitely to the left and right at the same height.
- No Vertical Change: As you move along the line in either direction, there is no change in the \( y \)-coordinate.
- Horizontal Orientation: The line is perfectly horizontal, running parallel to the x-axis.
In summary:
- Slope: 0
- True about the graph: It is a horizontal line where \( y \) is consistently \( -3 \).