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