Here, we have to find the equation of the line which makes an angle of 30° with the positive direction of the x-axis and cuts off an intercept of 4 units with the negative direction of the y - axis
As we know that, equation of a line whose slopeis m and which makes an intercept c on the Y-axis is given by:
y=mx+c Here, we have c = - 4 and
m=tan30= So, the equation of the required line is:
y=×x−4 ⇒√3y=x−4√3 So, the equation of the required line is
x−√3y−4√3=0 Hence, option D is the correct answer.