2
algebra

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

A

2xy=22x - y = -2

B

2xy=22x - y = 2

C

2x+y=62x + y = 6

D

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

Correct Answer: A

Choice A is the correct answer. Rearrange terms.

  1. Distribute: y4=2x2y - 4 = 2x - 2.
  2. Rearrange: Subtract yy and add 2 to the right? Or subtract 2x2x.
  • 2x+y4=2-2x + y - 4 = -2.
  • 2x+y=2-2x + 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 calculation error. Choice D is incorrect because equivalent but A is usually positive.