Set 12: Linear Functions (Intermediate)

Explanation

Answer: A

If line $L$ has slope $m$ ( $m \neq 0$ ), what is the slope of a line perpendicular to $L$ ?

$-\frac{1}{m}$

✓ Correct

$\frac{1}{m}$

$-m$

$m$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Definition of perpendicular slope. 1. Definition: Negative reciprocal. 2. Result: $-1/m$ . Strategic Tip: Flip the fraction and flip the sign. Choice B is incorrect because reciprocal only. Choice C is incorrect because negative only. Choice D is incorrect because parallel.

Key Steps:

•

The correct answer is $-\frac{1}{m}$

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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