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competitve inhibitor

The Y intercept is 0.01 uM/mon the Vmax is
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We use the Lineweaver-Burke, or double-reciprocal, plot to determine Vmax and Km. 
This gives a line in the y=mx+ b form with a y-intercept of 1/Vmax. Thus, in your question Vmax is 1/0.1by definition. Vmax=10.
Watch out for the units! Yours seem inverted.