Log-Log slope to visually identical linear slope,

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I need to plot segments with Log-Log slopes (1, -1, 05 and 0.25), on a linear graphic. How to convert these slopes to a linear graphic, so that they look the same?

I have as only information : Log(x)/Log(y) = slope

But I haven't been able to do something that works, all my tests failed, for example :

newSlope = Exp(Y) * (X^slope)