In order to find the distance between two parallel lines, first we find a point on one of the lines then we find its distance from the other line.

For example, consider the equations of parallel lines are given as

Let be a point on the line (i), then its distance from the line (ii) will be the distance between the lines (i) and (ii).

Now the distance of the point from the line (ii) is given by

Alternatively we can find distance between two parallel lines as

Considers two parallel lines

Now distance between two parallel lines by the following formula

__Example__**: **Find the distance between the parallel lines

and

Find we find a point on (i). For this, we put in equation (i), i.e.

Thus, is a point on line (i). If is the distance between given lines (i) and (ii), then is the distance of the point from the line (ii), so