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Is it possible to get the slope of a public key given its $x$ and $y$ coordinates?

Since all the ECC calculations come from geometry, I thought this calculation might be possible.

Maarten Bodewes
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Dev Tenji
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1 Answers1

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Since you are talking about ECC and we are in a crypto stack exchange, I suppose you define your elliptic curve over a finite field, lets say $\mathbb{F}_q$.

Here is a tool that lets you plot elliptic curves over finite fields. As you can observe, over a finite field, an elliptic "curve" is just disconnected points scattered around.

Therefore, (at least to my knowledge), you can't perform any "Calculus" like getting the slope of a point etc.

Alex Them
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