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The length of a perpendicular segment from a point to a line is the shortest distance between that point and the line. This length can be calculated using the formula given the coordinates of the point and the line's equation. Specifically, if the line is represented in the form Ax + By + C = 0, and the point's coordinates are (x₀, y₀), the length can be found using the formula: ( \text{Distance} = \frac{|Ax₀ + By₀ + C|}{\sqrt{A^2 + B^2}} ). This distance is always positive and represents the minimum separation between the point and the line.

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6d ago

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