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Terje Oseberg
Mathologer
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Comments by "Terje Oseberg" (@terjeoseberg990) on "Mathologer" channel.
I would say that the y intercept of any two random points on opposite sides of the y axis is the weighted average of the y values of each point where the weights are the x value of the opposite point. In other words, the y intercept of the line between <x1,y1> and <x2,y2> is (x2*y1+x1*y2)/(x1+x2) If we have a and b and want to figure out a*b, then the points on the graph are <a,a^2>, <b,b^2>. The formula for the y intercept becomes: (b*a^2+a*b^2)/(a+b) We want to know if a*b == (b*a^2+a*b^2)/(a+b) a*b*(a+b) = a*b*a+a*b*b = b*a^2+a*b^2
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