Set 14: Linear Functions

Explanation

Answer: A

Find the equation of the perpendicular bisector of the segment connecting $(0, 2)$ and $(0, 6)$ .

$y = 4$

✓ Correct

$x = 4$

$y = 2$

$x = 0$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Vertical segment. 1. Midpoint: Average of y's is $(2+6)/2 = 4$ . Point $(0, 4)$ . 2. Segment: Vertical (on y-axis). 3. Perp: Horizontal. 4. Equation: Horizontal line through $(0, 4) \rightarrow y = 4$ . Strategic Tip: Bisector of a vertical segment is horizontal. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $y = 4$

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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