Graph the equation by plotting points.
yequalsnegative 3
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Part 1
Use the graphing tool on the right to graph the equation.



The equation given is \( y = -3 \), which represents a horizontal line. In this case, the y-value is constant at \(-3\) for all values of \( x \).

### Steps to graph the equation \( y = -3 \):
1. **Plot points**: Since the y-value is constant, every point will have a y-coordinate of \(-3\), regardless of the x-value.
    - For example:
        - \( (x, y) = (0, -3) \)
        - \( (x, y) = (1, -3) \)
        - \( (x, y) = (-2, -3) \)
2. **Draw a horizontal line** through these points. Since the line is horizontal, it will be parallel to the x-axis and cross the y-axis at \(-3\).

If you were using a graphing tool, you'd mark these points on the graph and then draw a straight horizontal line through them.

Do you want me to clarify any steps or provide more details?

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Here are 5 related questions to expand your understanding:
1. What is the slope of a horizontal line like \( y = -3 \)?
2. How would the graph look if the equation were \( y = 3 \) instead?
3. How do you determine if a line is horizontal or vertical from its equation?
4. Can you think of another example of an equation that results in a horizontal line?
5. What happens to the graph if we change the equation to \( y = x - 3 \)?

**Tip**: Horizontal lines have a slope of zero, since there is no vertical change, only horizontal movement!

Graph the equation by plotting points. y = -3

This lesson teaches students how to graph the horizontal line y = -3 by plotting points. The y-value remains constant at -3 for all x-values. Ideal for students in Grades 6-8, this problem covers key graphing concepts and the properties of horizontal lines.

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