Just a few questions relating to graphs

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In current-voltage graphs, the slope represents the inverse of resistance (1/R), while the power is typically calculated as the area under the curve. The discussion raises a concern about the definition of power, questioning whether it should be calculated using the formula P = IV (20 x 4 = 80) or as the area of a triangle (20 x 4 x 0.5 = 40). The conclusion drawn is that power should be considered as the area of the rectangle rather than the area of the triangle in this context. This highlights a misunderstanding in the application of power calculations in relation to graph areas.
ianb
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I'm not following the format because this isn't really a homework question -- I'm just studying for my finals and encountered a few graphs in the electricity unit, and want a few things cleared up.

So in a current-voltage graph, the slope is 1/R, and power (according to my teacher) is the area under the line. I only have a problem with the latter claim-- say we have a point on a linear line whose coordinate is (20,4). Should P = IV = 20 x 4 = 80 rather than P = Area = 20 x 4 x 0.5 = 40?
 
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Yes, power should be area of the rectangle rather than area of the triangle.
 

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