How to use ratios to locate precise points on a line
In short: Master the geometric technique of finding coordinates that divide a line segment. This video demonstrates a step-by-step method for calculating exact positions using ratios, suitable for GCSE and A-level mathematics.
The video outlines a systematic approach to finding a dividing point by first converting a given ratio into fractions. It explains how to determine the total change in both x and y coordinates between two endpoints, then calculating the specific fractional change required.
By adding these fractional changes back to the starting endpoint's coordinates, you can pinpoint the exact location of the point. The tutorial includes worked examples, including one solved via graph sketching, to reinforce the process.
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Sources
- Summary by Intellect · source: GCSE Maths - Using Ratios to Find the Coordinates of a Point On a Line (2026/27 exams)
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