Question

What is the distance between the lines
2x+y=2 and 6x + 3y = –6 ?
​

Answer 1

Step-by-step explanation:

Given lines are y=2x+4 and 3y=6x−5

Which can be written as y=2x+4 and y−2x+

3

5

=0

Thus, the lines y−2x−4=0 and y−2x+

3

5

=0 are parallel.

Thus, the distance =

Given lines are y=2x+4 and 3y=6x−5

Which can be written as y=2x+4 and y−2x+

3

5

=0

Thus, the lines y−2x−4=0 and y−2x+

3

5

=0 are parallel.

Thus, the distance =

a

2

+b

2

=

4+1

3

5

+4

=

15

17

5