Determine the distance between the following pair of parallel lines:

4x – 3y – 9 = 0 and 4x – 3y – 24 = 0

Given: The parallel lines are


4x 3y 9 = 0 … (1)


4x 3y 24 = 0 … (2)


To find:


Distance between the givens parallel lines


Explanation:


Let d be the distance between the given lines.



Hence, distance between givens parallel line is


1