Question 85737
In order to solve this problem we first need to draw two parallel lines.
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In this problem it says that the loci is any  points that are equidistant, meaning of equal distance, from both of the lines. So lets draw points that are equal distant from both of the lines.

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My drawing there is a little off, but I hope you get the idea. So, the locus of points on a plane equidistant from two parallel lines is a third line that is equidistant and parallel from the two original lines.