8
algebra

A line is perpendicular to y=2x+1y = 2x + 1 and passes through (0, 0). What is its equation?

A

y = -0.5x

B

y = 2x

C

y = 0.5x

D

y = -2x

Correct Answer: A

Choice Bhoice C is the correct answer.

  1. Original Slope: 2
  2. Perpendicular Slope: Negative reciprocal = −1/2=−0.5-1/2 = -0.5
  3. Intercept: Passes through origin, so b=0b=0
  4. Equation: y=−0.5xy = -0.5x

Choice Bhoice C is incorrect because parallel slope.

Choice Bhoice D is incorrect because reciprocal but not negative.

Choice Bhoice A is incorrect because negative but not reciprocal.

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Linear Functions Set 39