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 y=3y = -3, which represents a horizontal line. In this case, the y-value is constant at 3-3 for all values of xx.

Steps to graph the equation y=3y = -3:

  1. Plot points: Since the y-value is constant, every point will have a y-coordinate of 3-3, regardless of the x-value.
    • For example:
      • (x,y)=(0,3)(x, y) = (0, -3)
      • (x,y)=(1,3)(x, y) = (1, -3)
      • (x,y)=(2,3)(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 3-3.

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?


Here are 5 related questions to expand your understanding:

  1. What is the slope of a horizontal line like y=3y = -3?
  2. How would the graph look if the equation were y=3y = 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=x3y = x - 3?

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