Math Problem Statement

Graph the line y = 5.

Solution

To graph the line y=5y = 5 on the given coordinate grid:

  1. Understand the Equation:
    The equation y=5y = 5 represents a horizontal line because the value of yy is constant (5), regardless of the value of xx.

  2. Plot the Line:

    • Identify the point where y=5y = 5 on the yy-axis.
    • Draw a straight, horizontal line across the graph that passes through all points where y=5y = 5.

This line will be parallel to the xx-axis and will extend infinitely to the left and right.

Would you like me to graph it for you? Let me know if you have further questions!


Here are 5 related questions to expand your understanding:

  1. How would the graph change if the equation were y=5y = -5?
  2. What does a vertical line look like, and what equation represents it?
  3. How would you graph y=3x+2y = 3x + 2?
  4. What is the slope of the line y=5y = 5?
  5. How do you determine the intercepts of a line on the xx- and yy-axes?

Tip: Horizontal lines have a slope of zero because the change in yy is zero while xx changes.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Linear Equations
Horizontal Lines

Formulas

y = constant (horizontal line equation)

Theorems

A horizontal line has a slope of zero.

Suitable Grade Level

Grades 6-8