10
algebra

What is the slope of the line x−3y=9x - 3y = 9?

A

13\frac{1}{3}

B

33

C

−3-3

D

−13-\frac{1}{3}

Correct Answer: A

Choice A is the correct answer. Isolate yy.

  1. Subtract x: −3y=−x+9-3y = -x + 9.
  2. Divide by -3: y=−1−3x+9−3y = \frac{-1}{-3}x + \frac{9}{-3}.
  3. Simplify: y=13x−3y = \frac{1}{3}x - 3.
  4. Slope: 13\frac{1}{3}.

💡 Strategic Tip: Slope m=−A/B=−1/(−3)=1/3m = -A/B = -1/(-3) = 1/3.

Choice B is incorrect because it ignores division. Choice C is incorrect because it is the coefficient of y. Choice D is incorrect because sign error.

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Linear Functions Set 86