SOLUTION: Find the distance between 3x-y+5=0 and 6x-2y-7=0.

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Question 672537: Find the distance between 3x-y+5=0 and 6x-2y-7=0.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
and


...=>..

now use distance formula and find the distance between one point on
and one on

easiest way is to find or
let use because lines are parallel and slopes are positive
and find

....=>......=>....=>.....=>..
is at (,)

....=>......=>....=>....=>. is at (,)

find the distance (note the distance between these two points is equal to the distance between given two lines)

Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:



Thus in our case, the required distance is



For more on this concept, refer to Distance formula.
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