2

Set 12: Linear Functions (Intermediate)

Explanation

Answer: A

Convert y4=2(x1)y - 4 = 2(x - 1) to standard form.

A.

2xy=22x - y = -2

✓ Correct
B.

2xy=22x - y = 2

C.

2x+y=62x + y = 6

D.

2x+y=2-2x + y = -2

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Rearrange terms. 1. Distribute: y4=2x2y - 4 = 2 x - 2. 2. Rearrange: Subtract yy and add 2 to the right? Or subtract 2x2x. - 2x+y4=2-2 x + y - 4 = -2. - 2x+y=2-2 x + y = 2. - Multiply by -1: 2xy=22x - y = -2. Strategic Tip: Check a point. (1,4)(1, 4) is on the line. 2(1)4=22(1) - 4 = -2. Correct. Choice B is incorrect because sign error. Choice C is incorrect because it results from an error in the solution process. Choice D is incorrect because equivalent but A is usually positive.

Key Steps:

The correct answer is 2xy=22x - y = -2

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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