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

⭐️ 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 *** https://youtube.com/playlist?list=PLidqqIGKox7XPh1QacLRiKto_UlnRIEVh&si=orIUwL3o2jOoiYjT https://youtube.com/playlist?list=PLidqqIGKox7X5UFT-expKIuR-i-BN3Q1g&si=DcihOwUkd9oWbbdp https://youtube.com/playlist?list=PLidqqIGKox7WeOKVGHxcd69kKqtwrKl8W&si=Y8MsO-FK948jnxpS https://youtube.com/playlist?list=PLidqqIGKox7UVC-8WC9djoeBzwxPeXph7&si=-7i5Iq7yOeJrhtu6 https://youtube.com/playlist?list=PLidqqIGKox7VKJD2WxRhoKaI6JGLVean8&si=NH_Q1ujhVgACM2FU #GCSE #ALevel #Maths #study #revision #school #exam #AQA #OCR #Edexcel #IGCSE #IB #AP