SOLUTION: The line y=-12/5x+2 is exactly 3 units away from the other two lines parallel to it. The distance, in units, between the y-intercepts of these two other lines is

Question 1064758: The line y=-12/5x+2 is exactly 3 units away from the other two lines parallel to it. The distance, in units, between the y-intercepts of these two other lines is
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You can form a right triangle with the spacing between lines and the distance between the intercepts.
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You can form another triangle with the line and the y axis using the slope of the line. The angles shown then have a relationship.

So then,

and

Then,

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