9

Set 17: Linear Functions

Explanation

Answer: A

Which equation represents a line with an undefined slope passing through (3,4)(-3, 4)?

A.

x=3x = -3

✓ Correct
B.

y=4y = 4

C.

y=3x+4y = -3x + 4

D.

x=4x = 4

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Undefined slope means vertical. 1. Form: Vertical lines are x=kx = k. 2. Value: The x-coordinate is 3-3. 3. Equation: x=3x = -3. Strategic Tip: Vertical lines lock the x-value. Horizontal lines lock the y-value. Choice B is incorrect because it is horizontal. Choice C is incorrect because it has a slope of -3. Choice D is incorrect because it uses the y-value.

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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