Set 4: Linear Functions (Intermediate)

Explanation

Answer: A

Find the slope of a line perpendicular to $y = -\frac{1}{2}x + 4$ .

$2$

✓ Correct

$-2$

$\frac{1}{2}$

$-\frac{1}{2}$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Perpendicular lines have negative reciprocal slopes. 1. Original Slope: $m = -\frac{1}{2}$ . 2. Negative Reciprocal: Flip the fraction ( $2 /1$ ) and change the sign ( $+$ ). 3. Result: $2$ . Strategic Tip: The product of perpendicular slopes is -1. $(-1/2) \times 2 = -1$ . Choice B is incorrect because it only flips the fraction. Choice C is incorrect because it only changes the sign. Choice D is incorrect because it is the same slope (parallel).

Key Steps:

•

The correct answer is $2$

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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Set 4: Linear Functions (Intermediate)

Detailed Explanation

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