9

Set 12: Linear Functions

Explanation

Answer: A

If the slope of a line is undefined, which of the following could be its equation?

A.

x=3x = -3

✓ Correct
B.

y=3y = -3

C.

y=xy = x

D.

y=3xy = -3x

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Undefined slope means a vertical line. 1. Vertical lines: Have the form x=kx = k. 2. Match: x=3x = -3 fits this form. Strategic Tip: Remember VUX: Vertical, Undefined, X=. Choice B is incorrect because it is horizontal (slope 0). Choice C is incorrect because slope is 1. Choice D is incorrect because slope is -3.

Key Steps:

The correct answer is x=3x = -3

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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