Question

find the distance between two parallel lines. 2x-y=2,2x-y=3​

Answer 1

Answer:

1 / √5

Step-by-step explanation:

The distance from the origin to a line ax + by = c is given by |c/√(a² + b²)|.

So...

The distance from the origin to the line 2x-y=2 is

2 / √(2²+1²) = 2 / √5.

The distance from the origin to the line 2x-y=3 is

3 / √(2²+1²) = 3 / √5.

The distance between the two parallel lines is then

3/√5 - 2/√5 = 1/√5.