Math Problem Statement
Graph the line y = 5.
Solution
To graph the line on the given coordinate grid:
-
Understand the Equation:
The equation represents a horizontal line because the value of is constant (5), regardless of the value of . -
Plot the Line:
- Identify the point where on the -axis.
- Draw a straight, horizontal line across the graph that passes through all points where .
This line will be parallel to the -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:
- How would the graph change if the equation were ?
- What does a vertical line look like, and what equation represents it?
- How would you graph ?
- What is the slope of the line ?
- How do you determine the intercepts of a line on the - and -axes?
Tip: Horizontal lines have a slope of zero because the change in is zero while 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