Q. 84.4( 7 Votes )

The perpendicular distance of a line from the origin is 5 units, and its slope is - 1. Find the equation of the line.

Answer :

Given: slope = - 1 and p = 5


Assuming: c be the intercept on the y - axis.


Explanation:


Then, the equation of the line is


y = - x + c [ m = - 1]


x + y = c



Dividing both sides by



This is the normal form of the given line.


Therefore, denotes the length of the perpendicular from the origin.


But, the length of the perpendicular is 5 units.



c =


Thus, substituting c = in y = - x + c , we get the equation of line to or


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