Segment has endpoints and . At what -coordinate does the perpendicular bisector of cross the -axis?

Answer and explanation

Correct answer: D.

  1. Step 1: The midpoint of is and the slope of is .
  2. Step 2: The perpendicular bisector has slope : .
  3. Step 3: Set : , so and .
Answer
.
Why not the others: uses slope ; uses slope ; is where line itself crosses the -axis.

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