7
algebra

Determine the value of bb if the lines y=3x+by = 3x + b and y=3x2y = 3x - 2 intersect at infinitely many points.

A

2-2

B

22

C

33

D

00

Correct Answer: A

Choice A is the correct answer. Coincident lines.

  1. Slopes: Same (3).
  2. Condition: For infinite solutions, intercepts must also be the same.
  3. Result: b=2b = -2.

💡 Strategic Tip: Same slope + Same intercept = Same line.

Choice B is incorrect because sign error. Choice C is incorrect.Choice D is incorrect.