5

Set 3: Linear Functions

Explanation

Answer: A

Find the slope of a line perpendicular to the line connecting (1,1)(1, 1) and (4,1)(4, 1).

A.

Undefined

✓ Correct
B.

00

C.

11

D.

1-1

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Horizontal vs Vertical. 1. Original Line: Points have same y (11). It's horizontal (m=0m=0). 2. Perpendicular: Perpendicular to horizontal is vertical. 3. Slope: Vertical lines have undefined slope. Strategic Tip: The negative reciprocal of 0 is 1/0-1/0, which is undefined. Choice B is incorrect because parallel. Choice C is incorrect. Choice D is incorrect.

Key Steps:

The correct answer is Undefined

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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