Derive the mathematical rate expression for competitive enzyme inhibition and give the graphical representation of Lineweaver-Burk plot.

In competitive enzyme inhibition, an inhibitor (I) competes with the substrate (S) for binding to the active site of the enzyme (E). The enzyme-inhibitor (EI) complex is non-reactive, reducing ______ ______ ________ _________ ____ ____ _________ ________ __________ ________.
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