To find: (a) find the midpoint and (b) write an equation for the perpendicular bisector.
Midpoint is
Equation of perpendicular bisector is
Given: two points
Concept Used:
Midpoint formula is given by
Slope of a line
Equation of point slope-form:
And Slope of perpendicular lines are negative reciprocal of each other.
Explanation:
Finding the midpoint of
Now slope of the points
Slope of perpendicular lines are negative reciprocal of each other.
Slope of perpendicular line:
Equation of a line:
Conclusion:
Midpoint is
Equation of perpendicular bisector is
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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