Is this already a form of coordinates?

if you have two lines, one being at 45 degrees and the other one perpendicular to the first, and you have the y positions of where each line intersects the y axis, then using only the y coordinates of the lines and the point of intersection, could you define any point on a 2-d plane? the values can be negative. I’m sorry if i worded this confusingly. if you have a question, please reply.

I think you are describing a right triangle with the hypotenuse parallel to the x axis, is that right?

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No, because if the intersections are (0,10) and (0,-10) then the point could be (10,0) or (-10,0).

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If we add to the coordinate convention that the line with the first coordinate is the one with the positive slope(or the other way around, whatever), then ( (0, 10), (0, -10) ) could only be (-10, 0), so that might solve the ambiguity problem.
Although, that’s adding something new to the OP’s proposal that might diverge from the original intent.

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thank you, that is what I did actually originally meant. You just worded it better.

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happy to have helped