Find the equation of a line making an angle of 150° with the x–axis and cutting off an intercept 2 from y–axis.

A line which makes an angle of 150o with the x–axis and cutting off an intercept at 2.

To Find: The equation of that line.


Formula used: The equation of a line is y = mx + c


Explanation: Here, angle, θ = 150o


SO, The slope of the line, m = tan θ


m = tan 150o


m =


Coordinate of y–intercept is (0, 2)


The required equation of the line is y = mx + c





Hence, The equation of line is .


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