Stage 30 · Analytic Geometry

30.3.4 Distance from a Point to a Line

30.3 Two Lines: Parallel, Perpendicular, Intersection, and Distance

Point 4 of 5

30.3.4 Distance from a Point to a Line

Core idea

Drop the shortest perpendicular from the point to the line, and its length is d=|Ax₀+By₀+C|/√(A²+B²).

Module goal. Study how lines relate to each other, judge their positions, find intersections, and compute distances, finishing the toolbox for lines.
eastmath.com · 30.3 Two Lines: Parallel, Perpendicular, Intersection, and Distance · 30.3.4 Distance from a Point to a Line