GCSE Maths - Using Ratios to Find the Coordinates of a Point On a Line (2026/27 exams)
⭐️ Check out our website https://www.cognito.org/ ⭐️ ** 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 ** • GCSE Maths (9-1) • GCSE Biology (9-1) • GCSE Chemistry (9-1) • GCSE Physics (9-1) • A-Level Biology #GCSE #ALevel #Maths #study #revision #school #exam #AQA #OCR #Edexcel #IGCSE #IB #AP
