3
algebra

Which equation is equivalent to y2=3(x+1)y - 2 = -3(x + 1)?

A

y=3x1y = -3x - 1

B

y=3x+1y = -3x + 1

C

y=3x5y = -3x - 5

D

y=3x+5y = -3x + 5

Correct Answer: A

Choice A is the correct answer. Simplify point-slope form.

  1. Distribute: y2=3x3y - 2 = -3x - 3.
  2. Add 2: y=3x3+2y = -3x - 3 + 2.
  3. Result: y=3x1y = -3x - 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.