Can anyone tell me how the graph would be if the equation is XY=K(K is

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SUMMARY

The graph of the equation XY=K, where K is a constant, is a hyperbola that is symmetrical about the line y=x. As K increases, the branches of the hyperbola move further away from the origin. The points of intersection with the line y=x occur at the coordinates (\pm\sqrt{K}, \pm\sqrt{K}). This behavior mirrors that of the equation XY=1, but with a scaling factor determined by the value of K.

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Can anyone tell me how the graph would be if the equation is XY=K(K is constant)?...
 
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quantizedzeus said:
Can anyone tell me how the graph would be if the equation is XY=K(K is constant)?...

Pretty much like xy=1 except for larger k it would be further out from the origin. It is symmetrical about the line y=x, and intersects this line at [itex](\pm\sqrt{k},\pm\sqrt{k})[/itex]
 

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