https://file.aiquickdraw.com/mathbot/file/1729639139320vrh0zlgh.jpg

The graph you've provided is a plot of the equation \( y = -4 \). This is a **horizontal line** that passes through all points where the \( y \)-coordinate is \(-4\).

### Key details:
- The equation \( y = -4 \) means that for every point on the line, the \( y \)-value remains constant at \(-4\), regardless of the \( x \)-value.
- The line is parallel to the \( x \)-axis and intersects the \( y \)-axis at \(-4\).

Would you like further explanation or any additional details?

Here are 5 follow-up questions related to this graph:
1. How do we identify whether a line is vertical or horizontal from its equation?
2. What is the slope of a line defined by \( y = -4 \)?
3. Can you write the equation of a vertical line that passes through the point \( (2, -4) \)?
4. How does the graph of \( y = -4 \) differ from the graph of \( x = -4 \)?
5. If the equation was \( y = x - 4 \), how would the graph change?

**Tip**: Horizontal lines always have a slope of 0, while vertical lines have an undefined slope.

The user provided a graph of the equation y = -4.

This lesson explains how to graph the equation y = -4, a horizontal line that intersects the y-axis at -4. Learn about the properties of horizontal lines, including their slope and relationship with the x-axis. Suitable for Grades 6-8 students.

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