IGCSE Maths: Coordinate Geometry

Overview

Coordinate Geometry connects algebra with geometry on the Cartesian plane. Students must be comfortable with gradients, y-intercepts, and the relationships between parallel and perpendicular lines.

Core Syllabus Topics

• Plotting coordinates
• Gradient of a line
• y = mx + c
• Midpoint of a line segment
• Length of a line segment

Extended Syllabus Topics

• Equation of a line from two points
• Parallel and perpendicular gradients
• Distance formula
• Intersection of lines
• Graphing regions and inequalities

Common Mistakes to Avoid

• Confusing gradient formula (y₂-y₁)/(x₂-x₁) with (x₂-x₁)/(y₂-y₁)
• Forgetting that perpendicular gradient is negative reciprocal
• Errors when rearranging to y = mx + c form