Question

find the equation of the line intersecting the x axis at a distance of 3 units to the left of origin and slope -2?

Answer 1

line intersecting the x axis at a distance 3 unit from left hence x=-3 and y=0
so, (-3,0) point lies in line
now,
equation of line
(y-0)=(-2)(x+3)

y+2 (x+3)=0

2x+y+6=0

Answer 2

Hope this helps you out.