Question

Find the distance between the pair of parallel lines
y=4x+4
4x-y=1
Select one:
a. d=1.64
b. d=1.47
c. d=1.21
d. d= 1.28

Answer 1

distance between two parallel lines is given by $\frac{|b_2 - b_1|}{ \sqrt{ m^{2} +1} } = \frac{|-1 - 4|}{ \sqrt{ 4^{2} +1} } = \frac{|-5|}{ \sqrt{ 16 +1} } = \frac{5}{ \sqrt{17} } =1.21$