what is the shape of the graph between V and i where V is the potential difference between the ends of a wire and i is the current in it

The graph will be a straight line. 
Kindly refer the link for more details

https://www.meritnation.com/ask-answer/question/state-ohms-law-draw-the-graph-between-vi/electricity/9277313

Regards 

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straight line
 
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