5
algebra

Line A passes through (0,0)(0, 0) and (2,2)(2, 2). Line B passes through (0,2)(0, 2) and (2,0)(2, 0). How are they related?

A

Perpendicular

B

Parallel

C

Neither

D

Coincident

Correct Answer: A

Choice A is the correct answer. Calculate slopes.

  1. Slope A: 2−02−0=1\frac{2-0}{2-0} = 1.
  2. Slope B: 0−22−0=−1\frac{0-2}{2-0} = -1.
  3. Relation: 1×(−1)=−11 \times (-1) = -1. Perpendicular.

💡 Strategic Tip: Slopes of 1 and -1 are perpendicular.

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.

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Linear Functions Set 92