Example

Finding the Equation of a Line Perpendicular to x=2x = 2 Through (2,1)(2, -1)

To compute the equation of a line positioned perpendicularly to the line x=2x = 2 that intersects the coordinate (2,1)(2, -1), recognize that the baseline equation x=2x = 2 graphs as a vertical line. Any line intersecting orthogonal to a vertical line assumes a horizontal orientation. Horizontal lines require a constant yy-coordinate governing their entire span. Given that the targeted perpendicular line forces a crossing exactly at (2,1)(2, -1), its absolute yy-value remains fixed at 1-1. Therefore, the definitive matching equation for the perpendicular line is exactly y=1y = -1.

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Updated 2026-05-03

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