1
algebra

Line A passes through (0,0)(0, 0) and (1,3)(1, 3). Line B passes through (0,4)(0, 4) and (3,3)(3, 3). Are they perpendicular?

A

Yes

B

No, they are parallel

C

No, neither

D

Cannot determine

Correct Answer: A

Choice A is the correct answer. Calculate slopes.

  1. Slope A: 3−01−0=3\frac{3-0}{1-0} = 3.
  2. Slope B: 3−43−0=−13\frac{3-4}{3-0} = \frac{-1}{3}.
  3. Check: 3×(−1/3)=−13 \times (-1/3) = -1.
  4. Result: Yes, perpendicular.

💡 Strategic Tip: Always check the product of slopes for perpendicularity.

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

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Linear Functions Set 93