Math Problem Statement
Graph the equation y = 2 by plotting points.
Solution
To graph the equation , let's break it down:
- The equation is a horizontal line because for every value of , remains constant at 2.
- To plot this on a graph, you can choose any values for (like etc.), and will always be 2.
Steps to graph:
- Choose points for (e.g., ).
- For each -value, plot the corresponding point where .
- Draw a straight horizontal line passing through all these points.
This line will intersect the y-axis at 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:
- What would the graph look like for ?
- How does the graph of differ from ?
- Can you find the slope of a horizontal line like ?
- What happens to the graph if the equation changes to ?
- What is the general equation form for horizontal lines?
Tip: A horizontal line's slope is always zero because the -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