Question

Find the equation of the line which intersects the y-axis at a distance of 2 units above the origin and makes an angle of 30° with the positive direction of the x-axis.

Answer 1

It is known that if a line with slope m makes y-intercept c, then the equation of the line is given as y = mx + c

Here, c = 2 and m = tan 30° = 1/√3 .

Thus, the required equation of the given line is