find the equation of the line which makes an angle of 30 degrees with the positive direction of the x axis and cuts off an intercept of 4 units with the negative direction of the y axis

Dear student
We know that  the eq of the line with slope m and y intercept c is given byy=mx+cHere, θ=30°so , m=tanθm=tan30°=13 and c=-4 so we have y=13x-43y=x-43x-3y-43=0which is the required eq
Regards

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