Perpendicular Bisector of a Line To find the equation of the perpendicular bisector of a line segment : 1. Find the midpoint 2. Find the slope of the given.

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Presentation transcript:

Perpendicular Bisector of a Line To find the equation of the perpendicular bisector of a line segment : 1. Find the midpoint 2. Find the slope of the given line segment 3. Find the perpendicular slope ( flip the fraction and change signs ) 4. Use the midpoint ( a, b ) and the perpendicular slope in the point – slope equation.

Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 2, 7 ) and ( 4, - 1 ).

Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 2, 7 ) and ( 4, - 1 ). 1.

Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 2, 7 ) and ( 4, - 1 )

Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 2, 7 ) and ( 4, - 1 )

Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 2, 7 ) and ( 4, - 1 ) Substitute the midpoint and perpendicular slope into point – slope form

Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 0, 3 ) and ( - 3, 9 ).

Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 0, 3 ) and ( - 3, 9 ). 1.

Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 0, 3 ) and ( - 3, 9 )

Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 0, 3 ) and ( - 3, 9 )

Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 0, 3 ) and ( - 3, 9 ) Substitute the midpoint and perpendicular slope into point – slope form