Set 7: Linear Functions (Advanced)

Explanation

Answer: A

Which equation represents a line perpendicular to $x + y = 0$ ?

$y = x$

✓ Correct

$y = -x$

$y = -x + 1$

$x + y = 2$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Find slope. 1. Original: $y = -x$ (Slope -1). 2. Perp Slope: 1. 3. Check Options: Option A ( $y=x$ ) has slope 1. Strategic Tip: $y=x$ and $y=-x$ are perpendicular. Choice B is incorrect because parallel. Choice C is incorrect because parallel. Choice D is incorrect because parallel.

Key Steps:

•

The correct answer is $y = x$

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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