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Algebraic Proof and Functional Analysis · Autumn Term

Coordinate Geometry: Lines and Gradients

Review of straight-line equations, parallel and perpendicular lines, and distance/midpoint formulas.

Key Questions

  1. Explain the relationship between the gradients of parallel and perpendicular lines.
  2. Construct the equation of a line given various pieces of information (e.g., two points, point and gradient).
  3. Analyze how changes in gradient and y-intercept affect the position and orientation of a line.

National Curriculum Attainment Targets

A-Level: Mathematics - Coordinate Geometry
Year: Year 12
Subject: Mathematics
Unit: Algebraic Proof and Functional Analysis
Period: Autumn Term

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