Find the equation of the line which makes an angle of 300 with the positive direction of the x - axis and cuts off an intercept of 4 units with the negative direction of the y - axis.


Given : The given line makes an angle of 30° with the x - axis. The y - intercept = - 4.


So, the slope of the line is m = tan = tan30° = .


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 =


Or,√3y = x - 4√3 i.e. x - √3y = 4√3


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