Draw a Straight Line Graph from Curved Line y=85x^(-1)

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The discussion centers on the mathematical relationship defined by the equation y=85x^(-1), which represents a hyperbola rather than a straight line. Participants clarify that while y is not directly proportional to x, it is indeed proportional to 1/x. By plotting y against 1/x, one can successfully create a straight line graph, demonstrating the inverse relationship. This method effectively transforms the hyperbolic curve into a linear representation.

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fatoomch
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Hi,

If I have a curved line of, say, y=85x^(-1) could I say that y is proportional to 1 over x?... and use this to draw a straight line graph?

Thanks
 
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Huh? The graph of this function is no straight line.
 
sorry if I'm not clear on this.

If A=pi r^2 then A is proportional to r^2 and you could draw a straight line graph of A against r^2

so if y = 85x^-1 wouldn't y be proportional to the inverse of x?... you could plot a straight line graph of y against the inverse of x?
 
You are correct.

What radou thought you meant was that the graph of y plotted against x is a straight line (which isn't true; of course it's a hyperbola). However, if you change the axes and plot y against 1/x, then you will obtain a straight line graph.
 

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