Work vs Position: Force-Displacement Relationship

[kxk010]

Homework Statement

1. You create a plot and the linear trend is y = 3.75 x + 0.135.
The plot is titled "Work [Joule] versus Position [meter]".
Write the "physics" translation for this plot's trendline.

Homework Equations

y = 3.75 x + 0.135.
Find physics equation.

The Attempt at a Solution

My understanding is that the area under a graph of force vs. position is work. However, I have no idea what a work versus position graph represents in terms of area underneath the curve and thus am unsure how to write the physics equation for this. Any ideas?

 

[danielu13]

The derivative of the graph with respect to position would be the applied force, correct? I can't really think of anything else that it would be representative of. Maybe it could somehow relate to power, but that's work versus time.