For a small temperature difference between the body and the surroundings the relation between the rate of loss heat $R$ and the temperature of the body is depicted by
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(c) Rate of loss of heat $(R)$  $\propto$ temperature difference

==>$R \propto (\theta - {\theta _0})$

==>$R = \;k(\theta - {\theta _0}) = k\theta - k{\theta _0}$(k= constant)
on comparing it with $y = mx + c$ it is observed that, the graph between $R$ and $\theta$ will be straight line with slope $=k$ and intercept

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