Consider the set of all points \((x,y)\) in the coordinate plane for which one of the coordinates is exactly twice the other. If we were to plot all such points, into how many regions would the resulting graph split up the plane?

mathtoo  Aug 22, 2018

The points would lie on one of two lines: y = 2x and y = x/2


These split the plane into four regions.

Alan  Aug 22, 2018

Yes, good job! 4 regions!

mathtoo  Aug 22, 2018

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