exam Maths Puzzle Numerical Ability

Please help me with this question:

What is the equation of a line, g(x), that is perpendicular to f(x)=1/2x+2 and passes through (0,2)?

a) g(x)=-4x+2
b) g(x)=-4x-2
c) g(x)=-4x-8
d) g(x) can not be determined with this information

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