Find the equation of the line intersecting the x-axis at a distance of 3 units to the left of origin with slope −2.
Let equation of line be y=m(x−d)
For the line intersecting the x-axis at the distance of 3 units to the left of the origin, d=−3It passes through
(−3,0).The slope of the line is given as
m=−2Thus, the required equation of the given line is,
y=−2[x−(−3)]⇒y=−2x−6⇒2x+y+6=0