In Exercises, find the equation of the line which satisfy the given conditions:

Intersecting the x-axis at a distance of 3 units to the left of origin with slope –2.

We know that if a line L with slope m makes x-intercept d, then equation of L is

y = m(x − d).

If the distance is 3 units to the left of origin then d = -3

Given, slope, m = -2

∴ y = (-2) (x – (-3))

⇒ y = (-2) (x + 3)

⇒ y = -2x – 6

⇒ 2x + y + 6 = 0

Ans. The equation of the line is 2x + y + 6 = 0.