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## Homework Statement

## Homework Equations

As the book says , an affine function of a line is [tex]A\rightarrow \mathbb{R}[/tex] and represent the real number that, multiplied for a basis and starting from an origin of the line gives a certain point of the line, so a origin of the line and a basis is implicitly taken when defining the affine coordinate function.

## The Attempt at a Solution

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Since for each of the 2 affine lines, the affine coordinate function is simply a number that is multiplied to the basis, what i think is that [tex]f(\alpha) = r\alpha[/tex]. But this seems not to be correct. Why ?