7

Set 11: Linear Functions (Advanced)

Explanation

Answer: A

Which equation is equivalent to y−2=−3(x+1)y - 2 = -3(x + 1)?

A.

y=−3x−1y = -3x - 1

✓ Correct
B.

y=−3x+1y = -3x + 1

C.

y=−3x−5y = -3x - 5

D.

y=−3x+5y = -3x + 5

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Simplify point-slope form. 1. Distribute: y−2=−3x−3y - 2 = -3 x - 3. 2. Add 2: y=−3x−3+2y = -3 x - 3 + 2. 3. Result: y=−3x−1y = -3 x - 1. Strategic Tip: Watch the negative sign distribution: −3×1=−3-3 \times 1 = -3. Choice B is incorrect because addition error. Choice C is incorrect because subtraction error. Choice D is incorrect because sign error.

Key Steps:

•

The correct answer is y=−3x−1y = -3x - 1

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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