# What is distance between lines #x+2y=5# and #2x+4y=7#?

A line can be represented as

so

By signing up, you agree to our Terms of Service and Privacy Policy

The distance between the lines (x+2y=5) and (2x+4y=7) is ( \frac{|\text{constant term of the first equation} - \text{constant term of the second equation}|}{\sqrt{A^2 + B^2}} ), where ( A ) and ( B ) are coefficients of the ( x ) and ( y ) terms in both equations respectively. In this case, the distance is ( \frac{|5 - 7|}{\sqrt{1^2 + 2^2}} = \frac{2}{\sqrt{5}} ).

By signing up, you agree to our Terms of Service and Privacy Policy

- Circle A has a center at #(4 ,-8 )# and a radius of #3 #. Circle B has a center at #(-2 ,-2 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them?
- What is the perimeter of a triangle with corners at #(6 ,5 )#, #(9 ,1 )#, and #(3 ,4 )#?
- A line passes through #(6 ,2 )# and #(2 ,1 )#. A second line passes through #(3 ,2 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- A line passes through #(5 ,6 )# and #(7 ,8 )#. A second line passes through #(2 ,1 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- A line passes through #(5 ,9 )# and #(8 ,3 )#. A second line passes through #(3 ,1 )#. What is one other point that the second line may pass through if it is parallel to the first line?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7