SOLUTION: find the shortest distance between the parallel lines with equations 5x-12y+33=0 and 5x-12y-6=0

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Question 146924: find the shortest distance between the parallel lines with equations 5x-12y+33=0 and 5x-12y-6=0
Answer by edjones(7311) About Me  (Show Source):
You can put this solution on YOUR website!
5x-12y+33=0
5x-12y-6=0
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5x-12y+33=0
-12y=-5x-33
y=5x/12 + 33/12
.
5x-12y-6=0
-12y=-5x+6
y=5x/12 - 1/2
.
The distance between the parallel lines is |33/12 + 1/2|=3.25
This is easier to see if we change the slope from 5x/12 (1st graph) to 0x/12 (2nd graph)

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Ed
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graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%285x%2F12%29%2B%2833%2F12%29%2C%285x%2F12%29-%281%2F2%29%29
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graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%280x%2F12%29%2B%2833%2F12%29%2C%280x%2F12%29-%281%2F2%29%29