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The coordinates of the points on the curve represent solutions of the equation.
they move
The classical problem of angle trisection cannot be solved. If it were possible, it would provide the solution to a cubic equation. (-but it isn't and it won't!)
It would have been helpful if you had actually given "this" equation. But since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.
The question seems to be missing some context or a specific equation relating x and y. To determine the value of y when x = 6, you'll need to provide the equation or relationship between x and y. Please provide more details for an accurate answer.