Let be three points. Then, the equation of the bisector of the is
Determine the equation of the bisector of the .
Given three vertices of a triangle are , , and
The figure for the given problem is as shown:
Slope of a line is given by:
Therefore the slope of a line is given by:
Now we also know that,
Therefore, the angle made by the line with the positive x-axis is:
Therefore
Therefore the line which is a bisector of will make an angle of with the positive x-axis.
Therefore the equation of a line is:
Hence, option C is the correct answer.