Have you ever looked at a messy-looking graph and wished it could be easier to read? That is where linear laws come in. You’ll learn how to turn curved or complicated graphs into straight lines. This makes it easier to analyse data and spot patterns. This skill is useful in both Math and Science — a simple straight line can reveal a lot once you understand how to use it.
Understanding Linear Laws
Linear laws help us change complicated relationships between variables into straight-line graphs. This is useful because straight-line graphs are easier to interpret and analyse.
In many cases, the relationship between two variables is non-linear — meaning the graph is a curve and the equation is not in the form of y=mx + c. We can use techniques like taking logarithms or plotting different variable combinations. This helps us rearrange the equation into a linear form. This lets us use the gradient and intercept to find unknown constants in the original equation.
In short, the purpose of linear laws is to make analysis easier by turning non-linear relationships into straight-line graphs that follow the form y=mx + c.
Common Forms and How to Linearise Them
In O-Level Additional Mathematics, you may come across equations that are not linear — meaning they do not fit the form y=mx + c. To analyse these equations using a straight-line graph, we need to rearrange them into a linear form.
Linear laws help you turn tricky, curved graphs into straight lines — making it easier to read values, find gradients, and solve real problems. Once you learn how to rearrange the equation and choose the right variables to plot, you will be able to handle these questions with confidence in your A-Math exams.
