3

Set 14: Linear Functions (Advanced)

Explanation

Answer: A

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

A.

13\frac{1}{3}

✓ Correct
B.

33

C.

−3-3

D.

−13-\frac{1}{3}

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Isolate yy. 1. Subtract x: −3y=−x+9-3 y = -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.

Key Steps:

•

The correct answer is 13\frac{1}{3}

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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