Let m be the slope of the parallel lines, each having a slope of m Then the distance between the parallel lines = (difference in y-intercept)/sqrt(1+m^2)
For the given problem, difference in y-intercept = 4-2=2 slope = m = -1 Distance between lines = 2/sqrt(1+(-1)^2) =2/sqrt(2)=sqrt(2)=1.41421
Answer: distance between the parallel lines = 1.41 (to the nearest hundredth)
