# Distance Between Two Parallel Lines

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

For example, the equations of two parallel lines are:

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

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

Alternatively we can find the distance between two parallel lines as follows:

Considers two parallel lines

Now the distance between two parallel lines can be found with the following formula:

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

and

First 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 the given lines (i) and (ii), then is the distance of the point from the line (ii), so