8
algebra

A line passes through the origin and (3,−1)(3, -1). What is its equation?

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. Find slope.

  1. Points: (0,0)(0, 0) and (3,−1)(3, -1).
  2. Slope: −1−03−0=−13\frac{-1 - 0}{3 - 0} = -\frac{1}{3}.
  3. Equation: y=−13xy = -\frac{1}{3}x.

💡 Strategic Tip:y/x=−1/3y/x = -1/3.

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

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Linear Functions Set 90