SOLUTION: Determine the bisector of the obtuse angle between the line 2x-3y=2 and x+y=6. Sketch the graph.

Question 641198: Determine the bisector of the obtuse angle between the line 2x-3y=2 and x+y=6. Sketch the graph.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

The slope of the bisecting line is NOT the average of the slopes of the two given lines.
We need to find a point on the line of intersection and its slope. First find the point of intersection of the lines:

The point of intersection is P(,).
Find the slopes of the given lines.

Note that for the first line �.
Note that for the second line �.
�
Therefore for the bisecting line of the obtuse angle:

So the bisector of the obtuse angle will be .
The equation of the line will be:

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