4

Set 16: Linear Functions

Explanation

Answer: A

What is the relationship between y=xy = x and y=xy = -x?

A.

Perpendicular

✓ Correct
B.

Parallel

C.

Neither

D.

Coincident

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Check slopes. 1. Slopes: m1=1m_1 = 1, m2=1m_2 = -1. 2. Product: 1×(1)=11\times (-1) = -1. 3. Result: Perpendicular. Strategic Tip: These are the two main diagonals of the coordinate plane, crossing at 90 degrees. 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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