Determine the distance between the following pair of parallel lines:

y = mx + c and y = mx + d

Given: The parallel lines are


y = mx + c and y = mx + d


To find:


Distance between the givens parallel lines


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.



Hence, distance between givens parallel line is


1