16Hit1600
AlgebraHardEquation of a horizontal or vertical line

Algebra practice question

Which equation represents the line in the xy-plane that passes through (5, −2) and (5, 7)?

  1. A. x = 5Correct
  2. B. y = 5
  3. C. y = x
  4. D. x + y = 5

Answer: A. x = 5

Both points have x = 5, so the line is vertical: x = 5.

Why the other answers are wrong

B. y = 5
y = 5 is horizontal and passes through neither point.
C. y = x
y = x passes through neither.
D. x + y = 5
x + y = 5 gives y = 0 at x = 5, not −2 or 7.

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