This deep dive covers Worked Examples 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 7 of 7 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 7 of 7
Practice
10 questions
Recall
20 flashcards
Worked Examples
Example 1: Plotting Points
Plot the points A(3, -2), B(-1, 4), and C(-2, -3)
Solution:
- A(3, -2): Go 3 units right, 2 units down → Quadrant 4
- B(-1, 4): Go 1 unit left, 4 units up → Quadrant 2
- C(-2, -3): Go 2 units left, 3 units down → Quadrant 3
Example 2: Distance Between Points
Find the distance between A(1, 2) and B(4, 6)
Solution:
Using the distance formula:
Distance = √[(4 - 1)² + (6 - 2)²]
= √[3² + 4²]
= √[9 + 16]
= √25 = 5 units
Example 3: Finding the Midpoint
Find the midpoint of the line segment joining P(-3, 1) and Q(5, -3)
Solution:
Using the midpoint formula:
Midpoint = ((-3 + 5)/2, (1 + (-3))/2)
= (2/2, -2/2)
= (1, -1)