Points and are given. The perpendicular bisector of crosses the -axis at which -value?
Answer and explanation
Correct answer: D.
- '' uses the original line's slope instead of the perpendicular slope .
- '' is the -intercept of the original line passing through and ().
- '' is the -coordinate of the midpoint, not the -intercept.
- '' is the -intercept of the original line passing through and ().
- '' is the -coordinate of the midpoint, not the -intercept.
- Step 1: Find the midpoint of segment : .
- Step 2: Find the slope of line : . The perpendicular bisector has slope .
- Step 3: Write point-slope equation through : . For the -intercept, set : .
Answer
.
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