Two parallel lines.
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The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.
All points less than 3 distant from point 'P' comprise a circle, centered at 'P', with a radius of 3, but NOT including the line that is the circumference of the circle.
The locus of points between 2 lines will always be another line that is halfway between the original 2 lines. In this case, that will be a line halfway between y=-2 and y=8, and since 3 is halfway between -2 and 8, the locus will be the line y=3.
The definition of locus given by Math Open Reference (mathopenref.com): A shape created by the set of points whose position satisfies a given set of rules.To be three inches from each of the two lines means that all the points of the locus are directly between the two given lines. Thus, the locus for this problem is a line parallel to and centered between the two parallel lines.i n c h e s0 3 6L1 locus L2| | || | || | || | || | || | |
Their x co-ordinate is -3.