Find the equation of the line cutting off an intercept - 2 from the y - axis and equally inclined to the axes.
Given: The line is equally inclined to both the axes.
The angle between the coordinate axes = 90°
If the inclination to both the axes is then
i.e.
slope of the line, m = tan
= tan45° = 1
The y - intercept = - 2 units
Formula to be used: y = mx + c where m is the slope of the line and c is the y - intercept.
The equation of the line is y = 1.x + (-2) = x - 2
i.e. x - y = 2