5
algebra

Write the equation of a line perpendicular to y=3xy = 3x passing through the origin.

A

y=−13xy = -\frac{1}{3}x

B

y=3xy = 3x

C

y=13xy = \frac{1}{3}x

D

y=−3xy = -3x

Correct Answer: A

Choice A is the correct answer. Negative reciprocal slope.

  1. Original Slope: 33.
  2. New Slope: −1/3-1/3.
  3. Intercept: Origin →b=0\rightarrow b=0.
  4. Equation: y=−13xy = -\frac{1}{3}x.

💡 Strategic Tip: Perpendicular to steep uphill is shallow downhill.

Choice B is incorrect because parallel. Choice C is incorrect because sign error. Choice D is incorrect because reciprocal error.

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Linear Functions Set 91