10
algebra

Two lines have the same slope (2) but different y-intercepts (3 and 5). Where do they intersect?

A

At x=1

B

Nowhere

C

At x=0

D

Everywhere

Correct Answer: B

Choice Bhoice C is the correct answer.

  1. Equations: y=2x+3y = 2x + 3 and y=2x+5y = 2x + 5
  2. Set equal: 2x+3=2x+52x + 3 = 2x + 5
  3. Subtract 2x: 3=53 = 5
  4. Analyze: Contradiction. Parallel lines never intersect.

Choice Bhoice D is incorrect because they are parallel.

Choice Bhoice C is incorrect because calculation error.

Choice Bhoice D is incorrect because calculation error.

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Linear Functions Set 27