4
algebra

Determine if the lines y=3x2y = 3x - 2 and y=3x+5y = 3x + 5 are parallel, perpendicular, or neither.

A

Parallel

B

Perpendicular

C

Neither

D

Coincident

Correct Answer: A

Choice A is the correct answer. Compare slopes.

  1. Line 1: m=3m = 3.
  2. Line 2: m=3m = 3.
  3. Conclusion: Slopes are equal, intercepts differ. They are parallel.

💡 Strategic Tip: Same slope = Parallel.

Choice B is incorrect because slopes are not negative reciprocals. Choice C is incorrect.Choice D is incorrect because intercepts differ.