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AlgebraEasyComparing the steepness of two lines

Algebra practice question

In the xy-plane, which of the following lines is steeper than the line y = 2x?

  1. A. y = 5xCorrect
  2. B. y = x
  3. C. y = 2x + 3
  4. D. y = 0.5x

Answer: A. y = 5x

A larger slope means a steeper line: 5 > 2.

Why the other answers are wrong

B. y = x
Slope 1 is less steep.
C. y = 2x + 3
Same slope, 2; the +3 only shifts the line.
D. y = 0.5x
Slope 0.5 is less steep.

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