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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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12y ago
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Q: A line is the locus of points which what?
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