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.
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
= 1
a = 8 and b= -8
Equation of the line is 
= 1
Hence ,the required equation of the line is 
= 1 
x– y = 8
1