Slope Relationship of Two Perpendicular Lines
Relationship: If lines L₁ and L₂ are perpendicular, then the product of their slopes is - 1, i.e., k₁ · k₂ = - 1. Conditions: Both lines are not parallel to th…
Syllabus path: Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Lines
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CSCA Mathematics Formula Reference
Formula and explanation
Relationship: If lines L₁ and L₂ are perpendicular, then the product of their slopes is - 1, i.e., k₁ · k₂ = - 1. Conditions: Both lines are not parallel to the coordinate axes (i.e., both slopes exist and are non - zero). Explanation: This is a common condition for determining if two lines are perpendicular. Special case: one line is horizontal (slope 0) and the other is vertical (slope undefined), they are also perpendicular.
Related tutorial and examples
Equations and Properties of Lines
Equations and Properties of Lines The straight line is the cornerstone of analytic geometry. For the CSCA exam, you must not only master the five forms of linear equations but also flexibly handle positional relationships (parallel, perpendicular) and distance problems. 1. Inclin…
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