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


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