Determine the distance between the following pair of parallel lines: `y=m x+c\ a n d\ y=m x+d`

Explanation

The parallel lines can be written as `mx − y + c = 0 …` (1)

`mx − y + d = 0 …` (2)

Let d be the distance between the given lines.

`=>d =(c−d)/sqrt(m^2+1)`

Hence, distance between givens parallel line is `(c−d)/sqrt(m^2+1)`