AlgebraEasyRecognising the graph of a constant function
Algebra practice question
Which of the following describes the graph of y = 4 in the xy-plane?
- A. A horizontal line through the point (0, 4)Correct
- B. A vertical line through the point (4, 0)
- C. A line through the origin with slope 4
- D. A single point at (0, 4)
Answer: A. A horizontal line through the point (0, 4)
y = 4 for every x: a horizontal line 4 units above the x-axis.
Why the other answers are wrong
- B. A vertical line through the point (4, 0)
- A vertical line through (4, 0) is x = 4.
- C. A line through the origin with slope 4
- y = 4x passes through the origin with slope 4; y = 4 has slope 0.
- D. A single point at (0, 4)
- Every x gives y = 4, so the graph is a whole line.
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