Find the equation

Given: equation is parallel to x + 7y + 2 = 0 and at unit distance from the point (1, -1)

To find: equation of two straight lines

Explanation:

The equation of given line is

x + 7y + 2 = 0 … (1)

The equation of a line parallel to line x + 7y + 2 = 0 is given below:

X + 7y + λ = 0 … (2)

The line x + 7y + λ = 0 is at a unit distance from the point (1, − 1).

∴ 1 = 1 – 7 + λ1 + 49

Hence, the required lines:

and