Modelling with Straight Lines (Edexcel AS Maths): Revision Note
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Modelling with Straight Lines
What is modelling with straight lines?
Modelling means applying the mathematics to a real-life situation
The model is used to find or predict future values
Models will often need refining to improve their accuracy
![Modelling with Straight Lines Notes Diagram 1, A Level & AS Level Pure Maths Revision Notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/06/3.1.4-Modelling-with-Straight-Lines-Notes-Diagram-1.png)
How do I work with straight line models?
Turn the words from the question into mathematical equations
In y = mx + c constants “m” and “c” will have a meaning
gradient “m” will be the rate of change
eg extension in a spring per 1 kg of mass added
y-axis intercept “c” will be the initial value
eg resting length of a spring
![Modelling with Straight Lines Notes Diagram 2, A Level & AS Level Pure Maths Revision Notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/06/3.1.4-Modelling-with-Straight-Lines-Notes-Diagram-2.png)
The skills needed are covered in the other pages of the section Equation of a Straight Line
Worked Example
![Modelling with Straight Lines Example Diagram, A Level & AS Level Pure Maths Revision Notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/06/3.1.4-Modelling-with-Straight-Lines-Example-Diagram.png)
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