In summary, the conversation is about making a conjecture and proving it through algebra regarding the ratio of x to y in the function y = ax + b. The conversation also includes a discussion on finding the slope of the shortest line from the origin to y = ax + b and the use of derivatives in solving the problem. The final conclusion is that the value of the ratio of x to y is equal to the value of a in the equation y = ax + b.
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yeah I worked it out today, I think this problem just got the better of me this week lol.