Math Problem Statement
Graph the equation by plotting points. yequalsnegative 3 Question content area bottom left Part 1 Use the graphing tool on the right to graph the equation.
Solution
The equation given is , which represents a horizontal line. In this case, the y-value is constant at for all values of .
Steps to graph the equation :
- Plot points: Since the y-value is constant, every point will have a y-coordinate of , regardless of the x-value.
- For example:
- For example:
- 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 .
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?
Here are 5 related questions to expand your understanding:
- What is the slope of a horizontal line like ?
- How would the graph look if the equation were instead?
- How do you determine if a line is horizontal or vertical from its equation?
- Can you think of another example of an equation that results in a horizontal line?
- What happens to the graph if we change the equation to ?
Tip: Horizontal lines have a slope of zero, since there is no vertical change, only horizontal movement!
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Graphing
Formulas
y = constant (horizontal line equation)
Theorems
Slope of a Horizontal Line
Suitable Grade Level
Grades 6-8