9

Set 15: Linear Functions (Advanced)

Explanation

Answer: A

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

✓ Correct
B.

Parallel

C.

Neither

D.

Coincident

Detailed Explanation

Choice A is correct. 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.

Key Steps:

•

The correct answer is Perpendicular

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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