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Formulas

Coordinate Geometry Formulas – IGCSE Maths

Every coordinate geometry formula you need for Cambridge IGCSE Mathematics 0580, with clear explanations of when and how to use each one.

Gradient

Core
m=y2y1x2x1m = \dfrac{y_2 - y_1}{x_2 - x_1}

Key formula for coordinate geometry in IGCSE Maths.

When to Use

Use when working with coordinate geometry problems.

Show your substitution clearly for method marks.

Midpoint

Core
(x1+x22,  y1+y22)\left(\dfrac{x_1+x_2}{2},\; \dfrac{y_1+y_2}{2}\right)

Key formula for coordinate geometry in IGCSE Maths.

When to Use

Use when working with coordinate geometry problems.

Show your substitution clearly for method marks.

Distance

Core
(x2x1)2+(y2y1)2\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}

Key formula for coordinate geometry in IGCSE Maths.

When to Use

Use when working with coordinate geometry problems.

Show your substitution clearly for method marks.

Equation of line

Core
y=mx+cy = mx + c

Key formula for coordinate geometry in IGCSE Maths.

When to Use

Use when working with coordinate geometry problems.

Show your substitution clearly for method marks.

Perpendicular gradients

Extended
m1×m2=1m_1 \times m_2 = -1

Key formula for coordinate geometry in IGCSE Maths.

When to Use

Use when working with coordinate geometry problems.

Show your substitution clearly for method marks.

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Frequently Asked Questions

Which coordinate geometry formulas are given in the exam?

Check the IGCSE formula sheet provided in your exam. Some coordinate geometry formulas must be memorised.

How do I remember coordinate geometry formulas?

Practice using them in past paper questions. Repeated application is more effective than rote memorisation.

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