AlgebraMediumLine through two points with the same y
Algebra practice question
Which equation represents the line in the xy-plane that passes through the points (2, 3) and (6, 3)?
- A. y = 3Correct
- B. x = 3
- C. y = x + 1
- D. x = 2
Answer: A. y = 3
Both points have y = 3, so the line is horizontal: every point on it has y = 3. Its slope is (3 − 3)/(6 − 2) = 0.
Why the other answers are wrong
- B. x = 3
- x = 3 is a vertical line; neither given point has x = 3.
- C. y = x + 1
- y = x + 1 passes through (2, 3) but at x = 6 gives y = 7, not 3.
- D. x = 2
- x = 2 is vertical and passes through only the first point.
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