SOLUTION: What is the shortest distance between 2 parallel lines given 2x+y-2=0 and 2x+y-3=0 ?

Question 932465: What is the shortest distance between 2 parallel lines given 2x+y-2=0 and 2x+y-3=0 ?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
In slope intercept form, the equations are,

The line perpendicular to these two lines would have the slope since perpendicular lines have slopes that are negative reciprocals.
The slope also equals the tangent of the angle the line makes with the x-axis.

So now you have a right triangle.

You know that

From the diagram,

And you know,

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