170k views
1 vote
Find the distance between parallel lines

Find the distance between parallel lines-example-1

1 Answer

0 votes

Answer:

d ≈ 1.41

Explanation:

given 2 parallel lines in the form y = mx + c

then the distance d between them is

d =
(|c_(2)-c_(1)| )/(√(1+m^2) )

the 2 lines have equation in the form y = mx + c

y = x + 3 and y = x + 1

with m = 1 , c₂ = 1 and c₁ = 3 , then

d =
(|1-3|)/(√(1+1^2) ) =
(|-2|)/(√(1+1) ) =
(2)/(√(2) ) ≈ 1.41 ( to the nearest hundredth )

User VaMoose
by
9.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories