Coordinate Geometry
Gradient, midpoint, length, and the equation of a straight line, four tools that combine into every question.
What this lesson covers
Coordinate Geometry is a 7-part O Level Mathematics lesson. Each part makes one point and then hands over to the next, so it can be read in a sitting or picked up again at the part you stopped on. It defines the idea in plain words before using it, works through an example step by step, breaks the topic into its parts and compares them, names the mistakes that cost marks in an exam, ends with a recap of what to remember.
How it begins
Coordinate geometry on this syllabus is built from four calculations, and every exam question is some combination of them: Gradient between two points: (y₂ − y₁)/(x₂ − x₁). Rise over run. Midpoint: average the x's, average the y's. Length: Pythagoras on the differences, √[(x₂ − x₁)² + (y₂ − y₁)²]. Equation of a line: y = mx + c, with m the gradient and c where it crosses the y-axis.
The 7 parts
- Four tools
- Gradient is a ratio, not a number to look up
- Finding the equation of a line
- Where lines meet, and what shape points make
- Where marks go
- What to remember
- Watch one worked through
Practise Coordinate Geometry
Everything on QuizByt for O Level Mathematics that goes with this lesson: read it first, then test yourself while it is fresh.
🧠 5 quizzes on Coordinate Geometry (2 easy, 2 medium, 1 hard)
Work up from easy to hard: the hard quiz asks the O Level exam-style questions on Coordinate Geometry.
🖨️ Printable worksheet
Coordinate Geometry on paper for O Level, with room to write the working out. Preview the first page free.
🎮 Games for O Level Mathematics
Number and logic games at the right level for O Level. Passing a quiz on Coordinate Geometry earns the credits that open them.
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