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Earn +20 ptsQ: What describes the Locus of all points that are equidistant from 2 lines?
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What is the locus of points equidistant from lines y equals 0 and x equals 3?
The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.
How is the locus of points equidistant from two parallel lines in a plane constructed?
you dont
What is the locus of points equidistant from two parallel lines?
It's a third line, parallel to both and midway between them.
What is the locus of points equidistant from two parallel lines that are 6 inches apart?
It is a line that is also parallel to them and exactly halfway between them.
The locus of points equidistant from the lines y equals -2 and y equals 8?
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.
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