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°

Answer 1

m=tan30 = 1/root3

point is ( 0,2 )

equation is y-y1=m ( x-x1 )

y-2=1/root3 ( x-0 )

root3 ( y-2 ) = x

x - yroot3 - 2root3 = 0