Answer :

Using the theories of lineweaver-burk, we got that 0.05 as the approximate numerical value  of the slope of the lineweaver-burk plot of these kinetic data.

The Lineweaver–Burk plot is correct when enzyme kinetics obey ideal second-order kinetics, however the non-linear regression is needed for systems that do not behave ideally. The double reciprocal plot distorts  error structure of the data, and is therefore not  most accurate tool for the determination of the enzyme kinetic parameters

Slope is equal to Km/Vmax

Km is half of Vmax

Vmax is 200 um/min, so Km is found at 100 um/min. At 100 um/min ,we know that the substrate concentration is 10 um. Thus, the Km is 10 um, which is equivalent to 10/200= 0.05

Hence, the approximate numerical value of the slope of the lineweaver-burk plot of these kinetic data is 0.05

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