4

Set 6: Linear Functions (Advanced)

Explanation

Answer: A

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

✓ Correct
B.

No, they are parallel

C.

No, neither

D.

Cannot determine

Detailed Explanation

Choice A is correct. 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.

Key Steps:

•

The correct answer is Yes

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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