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What would you expect in a graph showing the stiffness of a spring over the force exerted onto it?

Trying to work out the k (stiffness) of a spring (F=xk). F: force x: extension.

Attaching weights onto a spring and measuring its extension would you expect in a graph showing F in the x direction and k in the y direction, for the result to be proportional for there to be a horizontal line?

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