# Find the equations of the bisectors of the angles between the coordinate axes.

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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