GraphsKey Facts

Key Methods

Part of CoordinatesGCSE Mathematics

This key facts covers Key Methods within Coordinates for GCSE Mathematics. Revise Coordinates in Graphs for GCSE Mathematics with 10 exam-style questions and 20 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 5 of 7 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 5 of 7

Practice

10 questions

Recall

20 flashcards

Key Methods

Reading Coordinates

Always read coordinates as (x, y):

  1. Start from the origin (0, 0)
  2. Move horizontally by the x-value (right if positive, left if negative)
  3. Move vertically by the y-value (up if positive, down if negative)
  4. Mark the point

Distance Between Points

For points A(x₁, y₁) and B(x₂, y₂):

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Midpoint Formula

For points A(x₁, y₁) and B(x₂, y₂):

Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)

Keep building this topic

Read this section alongside the surrounding pages in Coordinates. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Coordinates

Which point has coordinates (–3, 5)?

  • A. 3 units right, 5 units up
  • B. 3 units left, 5 units up
  • C. 5 units left, 3 units up
  • D. 3 units left, 5 units down
1 markfoundation

A triangle has vertices at P(−1, 2), Q(3, 5) and R(7, 2). Show that the triangle is isosceles.

3 markshigher

Quick Recall Flashcards

What are coordinates?
A pair of numbers (x, y) that describe the exact position of a point on a coordinate plane.
Which axis is vertical?
The y-axis is the vertical axis (runs up and down).

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