The equation of the line L with the distance equal to two lines X + 2Y + 3 = 0 and 2x + 4Y + 5 = 0 I want the process

Straight line 1: x + 2Y + 3 = 0
Line 2: x + 2Y + 5 / 2 = 0
The simplest way is to add up the two sides and average them, and get x + 2Y + 11 / 4 = 0

Find the distance between two parallel lines X + 2Y = 0.2x + 4y-7 = 0

Take any point at x + 2Y = 0, such as the origin
The distance from him to 2x + 4y-7 = 0 is the distance between two parallel lines
So the distance = | 0 + 0-7 | / √ (2 & sup2; + 4 & sup2;) = 7 √ 5 / 10

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