graph for two variables that are INVERSELY related

[bananaboat]

okay i always thought the graph for two things that were inversely related would be a straight line, where as Y decreases, X increases.

but according to the EK math book, its not, its actually y=1/x^n. i thought this would only be the case for something like Fgrav related to r^2.

so is it true that Fgrav and r^2 graph would look the same as frequency plotted against wavelength? or mass plotted against acceleration?

thanks

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[bananaboat]

sorry guju and others..i totally forgot about the subforums which were specific to the content.

 

[bananaboat]

Inversely proportional is going to be hyperbolic

If y = x then it is directly proprotional and linear

If y = mx + b then it will be linear but have a y intercept making it not directly proportional

If y = x^2 then it is parabolic

Conversely if X = y^2, then y = sq rt of x and hence has a michelis menton like graph which is a side ways parabola.

If y = 1/x then you get a hyperbola.

etc etc. etc.

thanks. that makes perfect sense.