9

Set 5: Linear Functions (Advanced)

Explanation

Answer: A

Find the value of kk so that kxy=4kx - y = 4 is parallel to y=3x2y = 3x - 2.

A.

33

✓ Correct
B.

3-3

C.

13\frac{1}{3}

D.

13-\frac{1}{3}

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Match slopes. 1. Target Slope: 33. 2. Line Slope: kxy=4y=kx4kx - y = 4 \rightarrow y = kx - 4. Slope is kk. 3. Equate: k=3k = 3. Strategic Tip: In standard form, kk is the x-coefficient here. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

The correct answer is 33

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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