Generalized Equation of a Straight Line in the Interval Version

This article deals with the problem of the interval version of a straight line. Here are the definitions of a generalized straight line with an angular coefficient, the equation of a generalized straight line passing through two rectangles formed by the intersection of two pairs of given intervals, and an extended version of the generalized straight line containing n rectangles formed by the intersection of n pairwise given intervals. For each equation, special cases are considered and geometric images are illustrated. Examples are given where the introduced concepts can be applied as a tool for interval analysis, which justifies the consideration of various equations of the line in the interval version.

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