Is a vertical line a linear function?
Understand the Problem
The question is asking whether a vertical line can be classified as a linear function. This involves understanding the definition of linear functions and the characteristics of vertical lines in a coordinate system.
Answer
No, a vertical line is not a linear function.
The final answer is no, a vertical line is not a linear function.
Answer for screen readers
The final answer is no, a vertical line is not a linear function.
More Information
A vertical line is defined by an equation of the form x = a, which fails the vertical line test for functions. Consequently, it is not considered a linear function but remains a linear equation.
Tips
Avoid confusing linear equations with linear functions. A vertical line is a linear equation but does not qualify as a function because it does not pass the vertical line test.
Sources
- Is a vertical line on a graph a linear function? - Quora - quora.com
- Vertical lines of linear equations - StudyPug - studypug.com
- All vertical lines are linear equations - Wyzant Resources - wyzant.com
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