Answer :

To Find: Equations of bisectors of the angles between coordinate axes.


Formula Used: The equation of line is y = mx + c


Diagram:



Explanation:


Co–ordinate axes make an angle of 90˚ with each other.


So the bisector of angles between co–ordinate axes will subtend


Now, we can see that there are two bisectors.


Angles subtended from x–axis are: 90˚ and 135˚


And there is no intercept, c = 0


Equations are:


y = tan45˚x and y = tan135˚x


y = x and y = –x


Hence, the equations of bisectors of angle between coordinate axis are y = x and y = –x


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