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## Homework Statement

Find the slope of the tangent line to the parabola y = 2x - x

^{2}at the point (2,0)

## Homework Equations

[tex]\frac{f(x) -f(a)}{x - a}[/tex]

[tex]\frac{f(a + h) - f(a)}{h}[/tex]

## The Attempt at a Solution

[tex] \frac{(2x - x^2 - (2(2) - (2)^2)}{ x - 2} [/tex]

[tex] \frac{(2x - x^2 - ( term self cancels )}{ x - 2} [/tex]

[tex] \frac{x(2 - x)}{x - 2} [/tex]

This is where I'm stopped. As I wrote in the thread title, I'm independently studying the subject before I have to take the course, so I don't have anyone to direct me in this endeavor. Any help would be appreciated.

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