3
algebra

Which line is parallel to 3x+4y=123x + 4y = 12?

A

3x+4y=73x + 4y = 7

B

4x3y=124x - 3y = 12

C

3x4y=123x - 4y = 12

D

4x+3y=124x + 3y = 12

Correct Answer: A

Choice A is the correct answer. Same coefficients.

  1. Original: 3x+4y=123x + 4y = 12 (Slope 3/4-3/4).
  2. Option A: 3x+4y=73x + 4y = 7 (Slope 3/4-3/4).
  3. Result: Parallel.

💡 Strategic Tip: In Standard Form, keep Ax+ByAx+By the same to get a parallel line.

Choice B is incorrect because perpendicular. Choice C is incorrect because different slope. Choice D is incorrect because different slope.