Question

Find the equation of the line passing through $(2,-2)$ and which makes equal and opposite intercept from the co-ordinate axes.

Answer 1

Let $a$ be the equal intercept made by the line from the co-ordinate axes.

Then according to the problem the equation of the line will be $x-y=a$.

Given the line passes through $(2,-2)$.

Then $a=4$.

So the equation of the line is $x-y=4$.