Name that equation
Let's see what this transformation looks like algebraically. To do this, we want to end up with a function with 1/V on the left, and an expression involving 1/[S] on the right:
| Start with | V = Vmax [S] / ([S] + Km) |
| Invert both sides: | 1/V = ([S] + Km) /( Vmax [S]) |
| Simplify the right a little: | 1/V = [S]/(Vmax [S]) + Km/(Vmax [S]) |
| Cancel: | 1/V = 1/Vmax + Km/(Vmax [S]) |
| Clarify: | 1/V = 1/Vmax + Km/Vmax * 1/[S] |
It is not important to memorize how to manipulate this equation, although you should be able to follow the manipulations, so you know where the "new" equation below came from.
It is also NOT important to memorize the new equation. Instead, we're going to look at some characteristics of the new equation. First of all, remember that when we graph this equation, 1/[S] goes on the X axis and 1\V on the Y axis. Essentially, therefore, this is the equation for a line!
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