3
algebra

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

A

y=−x+4y = -x + 4

B

y=xy = x

C

y=−xy = -x

D

y=x+2y = x + 2

Correct Answer: A

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.

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Linear Functions Set 100