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A line is the locus of points such that the gradient (slope) between that point and one fixed point in the plane is a constant.
Technically, that definition does not include a vertical line because its gradient is not defined! You could get around that this by requiring that either the gradient is a constant or, if it is undefined, then the inverse gradient (dx/dy) is constant.
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What is the locus of points in a plane that are equidistant from points A and B in the plane?
a straight line ..
What is the locus of points in a plane that are equidistant from two fixed points?
I believe that is the definition of a straight line.
What is locus of points that is 3 units from line P?
Two parallel lines.
What describes the Locus of all points that are equidistant from 2 lines?
The perpendicular bisector of the line joining the two points.
What figure is the locus of all points that are equidistant from two fixed points?
A line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points
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