prove that the distance between parrallel lines y=mx + c1 and y=mx +c2 is{plz answer fast}

Since the lines are parallel ,

So distance of origin from 1st line is d1 = |c1|/root(1+m^2)

Similarly distance of origin from second line is d2 = |c2|/root(1+m^2)

Now origin lies on the same side of both the lines , so

Distance between the lines = d1-d2 = |c1-c2|/root(1+m^2)