Wolfram Demonstrations Project

This Demonstration plots the graphs of the equations of two lines in the form

, along with their two angle bisectors if the lines intersect.

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

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

Contributed by: Abraham Gadalla

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Common Core State Standards for Mathematics

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Angle Bisectors of Two Intersecting Lines