Find the equation of the line which passes through the point (3, -5) and cuts off intercepts on the axes which are equal in magnitude but opposite in sign.

Question

Philoid · Accepted Answer

To Find: The equation of the line passing through (3, -5) and cuts off intercepts on the axes which are equal in magnitude but opposite in sign.

Given : Let a and b be two intercepts of x-axis and y-axis respectively.

According to the question a = -b or b = -a

And (3 , -5) passes through the point (x, y), thus satisfies the equation

Formula used:

Now since intercept form of the line is given by , = 1

= 1

a = 8 and b= -8

Equation of the line is = 1

Hence ,the required equation of the line is = 1 x– y = 8