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.
⇒ d =\(\Big|\frac{c-d}{\sqrt{m^2+1}}\Big|\)
Hence, distance between givens parallel line is \(\Big|\frac{c-d}{\sqrt{m^2+1}}\Big|\)
