6

Set 2: Linear Functions

Explanation

Answer: A

Which line is equidistant from the points (1,1)(1, 1) and (3,3)(3, 3)?

A.

y=−x+4y = -x + 4

✓ Correct
B.

y=xy = x

C.

y=−xy = -x

D.

y=x+2y = x + 2

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Perpendicular bisector. 1. Midpoint: (2,2)(2, 2). 2. Slope of Segment: 3−13−1=1\frac{3-1}{3-1} = 1. 3. Perp Slope: −1-1. 4. Equation: y−2=−1(x−2)→y=−x+2+2→y=−x+4y - 2 = -1(x - 2) \rightarrow y = -x + 2 + 2 \rightarrow y = -x + 4. Strategic Tip: The perpendicular bisector is the set of all equidistant points. Choice B is incorrect because passes through points. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is y=−x+4y = -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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