Determine the distance between the following pair of parallel lines:

4x + 3y – 11 = 0 and 8x + 6y = 15

Given: The parallel lines are


4x + 3y – 11 = 0 and 8x + 6y = 15


To find:


Distance between the givens parallel lines


Explanation:


The given parallel lines can be written as


4x + 3y 11 = 0 … (1)


… (2)


Let d be the distance between the given lines.



Hence, distance between givens parallel line is


1