book Maths Puzzle Numerical Ability

Hi,

How do you tell if a function is linear? Example of a question would be: State whether this is linear. I know that the equation f(x) = mx + b is used, but can someone give me an example, please?

Thanks so much! I really appreciate it!

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How do I solve this equation

4x+7y=1303560

What are the optimum values for x & y?