AlgebraEasy–MediumLine through a point perpendicular to the y-axis
Algebra practice question
In the xy-plane, which of the following is an equation of the line that passes through the point (−2, 0) and is perpendicular to the y-axis?
- A. y = 0Correct
- B. x = −2
- C. y = −2
- D. x = 0
Answer: A. y = 0
A line perpendicular to the y-axis is horizontal, so its equation is y = a constant. Through (−2, 0), that constant is 0: y = 0.
Why the other answers are wrong
- B. x = −2
- x = −2 is vertical, parallel to the y-axis.
- C. y = −2
- y = −2 is horizontal but does not pass through (−2, 0).
- D. x = 0
- x = 0 is the y-axis itself.
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