Math Problem Statement

Graph the equation y = 2 by plotting points.

Solution

To graph the equation y=2y = 2, let's break it down:

  • The equation y=2y = 2 is a horizontal line because for every value of xx, yy remains constant at 2.
  • To plot this on a graph, you can choose any values for xx (like x=2,0,2,x = -2, 0, 2, etc.), and yy will always be 2.

Steps to graph:

  1. Choose points for xx (e.g., x=2,0,2x = -2, 0, 2).
  2. For each xx-value, plot the corresponding point where y=2y = 2.
  3. Draw a straight horizontal line passing through all these points.

This line will intersect the y-axis at y=2y = 2 and will be parallel to the x-axis.

Would you like a visual representation or any further clarifications?

Here are 5 related questions to expand your understanding:

  1. What would the graph look like for y=3y = -3?
  2. How does the graph of x=3x = 3 differ from y=2y = 2?
  3. Can you find the slope of a horizontal line like y=2y = 2?
  4. What happens to the graph if the equation changes to y=x+2y = x + 2?
  5. What is the general equation form for horizontal lines?

Tip: A horizontal line's slope is always zero because the yy-value doesn't change!

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Math Problem Analysis

Mathematical Concepts

Graphing linear equations
Horizontal lines
Coordinate plane

Formulas

y = c (Horizontal Line Equation)

Theorems

A horizontal line has a slope of 0
Linear equations produce straight lines

Suitable Grade Level

Grades 6-8