4
algebra

Which pair of lines is parallel?

A

y=2xy = 2x and 2xy=52x - y = 5

B

y=2xy = 2x and y=2xy = -2x

C

y=2xy = 2x and x2y=5x - 2y = 5

D

y=2xy = 2x and y=12xy = \frac{1}{2}x

Correct Answer: A

Choice A is the correct answer. Convert to slope-intercept.

  1. Line 1: m=2m = 2.
  2. Line 2: y=2x+5y=2x5-y = -2x + 5 \rightarrow y = 2x - 5. m=2m = 2.
  3. Result: Parallel.

💡 Strategic Tip: Check slopes carefully.

Choice B is incorrect because slopes are opposites. Choice C is incorrect because slope is 1/2. Choice D is incorrect because slope is 1/2.