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What is the most common application for analytic geometry?

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Its most common application is in the representation of equations involving two or three variables as curves in two or three dimensions or surfaces in three dimensions. For example, the linear equation ax + by + c =0 represents a straight line in the xy -plane, and the linear equation ax + by + cz + d =0 represents a plane in space, where a, b, c, and d are constant numbers (coefficients).

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