10

Set 10: Linear Functions (Advanced)

Explanation

Answer: A

Are the lines y=xy = x and x+y=0x + y = 0 perpendicular?

A.

Yes

✓ Correct
B.

No, parallel

C.

No, neither

D.

Cannot determine

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Check slopes. 1. Line 1: y=xy = x (Slope 1). 2. Line 2: y=xy = -x (Slope -1). 3. Product: 1×(1)=11\times (-1) = -1. 4. Result: Yes. Strategic Tip: These are the diagonals. 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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