A straight line L through the point  (3,−2) is inclined at an angle 60°  to the line 3x+y=1. If   L If L also intersects the x-axis, then the equation of L is

Let the slope of L be mthen,  m+31−3m=tan⁡60∘=3⇒ m+3=3(1−3m)or  m+3=−3(1−3m)⇒ m=0 or n=3 But n≠0 as L intersects x- axis Hence equation of L is y+2=3(x−3)or  y−3x+2+33=0