Master Ratios to Find Coordinates on a Line – GCSE Maths Revision (2026/27) 📐

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*** WHAT'S COVERED ***
1. Finding the coordinates of a point that divides a line segment in a specific ratio.
* Understanding how a ratio divides a line segment.
2. Method for calculating the coordinates of the dividing point.
* Converting the given ratio into fractions.
* Calculating the total change in the x and y coordinates between the endpoints.
* Finding the required fractional part of the total change in x and y.
* Adding the calculated fractional changes to the coordinates of the starting endpoint.
3. Worked examples demonstrating the method.
* Example using a provided graph.
* Example solved by sketching a graph first.

*** EXAM BOARD INFO ***
This video is suitable for maths courses around the world.
KS3 - Not on your course
GCSE Foundation - All on your course
GCSE Higher - All on your course
A-level - All on your course

*** CHAPTERS ***
0:00 Intro: Using Ratios to Find a Point Along a Line
0:14 Example 1 (Provided Graph)
0:44 Example 1: Converting the Ratio to Fractions
2:02 Example 1: Calculating Total Change in X and Y Coordinates
2:28 Example 1: Calculating the Fractional Change Required
3:00 Example 1: Adding Fractional Change to Point A to Find Point C Coordinates
3:36 Example 2 (Sketch the Graph)
4:03 Importance of Sketching a Graph
5:06 Converting Ratio to Fractions
5:39 Step 1: Find the Difference (Total Change) in X and Y
6:21 Step 2: Find the Required Fraction of the Difference
6:31 Step 3: Add the Fractional Difference to Point A Coordinates
6:50 Example 2: Final Coordinates for Point C

*** PLAYLISTS ***
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