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AlgebraEasyLine with a given slope through the origin

Algebra practice question

Which equation represents a line in the xy-plane with slope 3 that passes through the origin?

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

Answer: A. y = 3x

y = 3x has slope 3 and gives y = 0 when x = 0.

Why the other answers are wrong

B. y = x + 3
y = x + 3 has slope 1 and misses the origin.
C. y = 3
y = 3 is horizontal, slope 0.
D. x = 3
x = 3 is vertical.

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