16Hit1600
AlgebraEasyRecognising the graph of a constant function

Algebra practice question

Which of the following describes the graph of y = 4 in the xy-plane?

  1. A. A horizontal line through the point (0, 4)Correct
  2. B. A vertical line through the point (4, 0)
  3. C. A line through the origin with slope 4
  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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