Slope of Kinetic vs Potential(Spring)

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Homework Statement


Been trying the last few hours to figure out what the slope of a kinetic vs potential graph means. I did a lab this past week dealing with springs and a glider. Was asked to graph a X^2max-x^2 vs v^2 graph. Made the graph but have no idea what the slope means.



Homework Equations





The Attempt at a Solution


Solved for total mechanical energy and change in potential energy and still do not know what slope means. Maybe I put them on the wrong x-y axis. Right now I have v^2 on the y axis. Can somebody please point me in the right direction.
 

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  • X(max)^2- x(m)^2 vs vs V^2.JPG
    X(max)^2- x(m)^2 vs vs V^2.JPG
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