Concept explainers
To find: the line equations that bisect the acute and obtuse angles formed by the given line equations.
Explanation of Solution
Given information:
Calculation:
Rewrite equation (1) in standard line equation form
Thus the value of
Rewrite equation (2) in standard line equation form
Thus the value of
Let the distance of the point on the angle bisector from line equation (1) and (2) be
The value of
Now graph the equation (1) and (2) by using the graphing calculator as shown below.
The origin is in the interior of acute angle and in case of obtuse angle the origin is in the exterior.
The points on the angle bisector are equidistant to the arms of the angle.
The equation bisector of acute angle formed by line (1) and (2) will be evaluated as follows:
The equation of bisector of obtuse angle formed by line (1) and (2) will be evaluated as follows:
Thus the bisecting line equation of acute and obtuse angle formed by given lines are as follows:
Chapter 7 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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