Elliptic Curve Cryptography Explained (2019)
> Pick two different random points with different x value on the curve, connect these two points with a straight line, let’s say A
A
 and B
B
. Then you will notice the line touches the curve at a third point.I seem to always get hung up on this part of the explanation. Looking at the graph, I can see points along the curve, where a line would only intersect with 2 points on the curve.What do you do in that case? Is this a matter of, yes those points are there, but they are rare enough that we just pick another set of random points and try again, or is there another solution to the issue?