Question:
If the y-intercept of the perpendicular bisector of the line segment joining P(1,4) and Q(k,3) is -4, then a possible value of k is:
If the y-intercept of the perpendicular bisector of the line segment joining P(1,4) and Q(k,3) is -4, then a possible value of k is:
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To find the equation of the perpendicular bisector, first find the midpoint and slope, and use the line equation formula.
Updated On: May 15, 2025
- 2
- -2
- -4
- -6
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The Correct Option is C
Solution and Explanation
The y-intercept of the perpendicular bisector can be found by calculating the midpoint of \( P(1, 4) \) and \( Q(k, 3) \) and using the condition of the given y-intercept. By solving, the value of \( k \) is found to be -4.
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