6
algebra

Which line is parallel to 2xy=42x - y = 4?

A

y=2x+1y = 2x + 1

B

y=2x+1y = -2x + 1

C

y=12x+1y = \frac{1}{2}x + 1

D

y=12x+1y = -\frac{1}{2}x + 1

Correct Answer: A

Choice A is the correct answer. Find slope first.

  1. Convert: y=2x+4y=2x4-y = -2x + 4 \rightarrow y = 2x - 4.
  2. Slope: m=2m = 2.
  3. Check Options: Option A has slope 2.

💡 Strategic Tip: In standard form Ax+By=CAx+By=C, parallel lines have the same AA and BB (or proportional).

Choice B is incorrect because slope -2. Choice C is incorrect because slope 1/2. Choice D is incorrect because slope -1/2.