Set 5: Linear Functions

Explanation

Answer: A

Which equation represents the perpendicular bisector of the segment connecting $(2, 2)$ and $(6, 2)$ ?

$x = 4$

✓ Correct

$y = 4$

$x = 2$

$y = 2$

Detailed Explanation

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

Key Steps:

•

The correct answer is $x = 4$

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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