Angle Bisectors of Two Intersecting Lines

This Demonstration plots the graphs of the equations of two lines in the form , , along with their two angle bisectors if the lines intersect.

SNAPSHOTS

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DETAILS

If the lines intersect, the point of intersection is
.
The equations of the angle bisectors are obtained by solving
.
The slope of the angle bisector in terms of the slope of the two lines and is
.
The slope of the perpendicular to the angle bisector is
.
Note that .
The equation of the angle bisector in point-slope form is
and the equation of the perpendicular to the angle bisector at the point of intersection is
.
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Related Curriculum Standards

US Common Core State Standards, Mathematics