\(\ln \left(\frac{T_f-T_0}{T-T_0}\right)=K t\)

If \(\theta\) is the instantaneous temperature than

\(\ln \left(\frac{\theta_i-\theta_0}{\theta-\theta_0}\right)=K t\)

\(\ln \left(\theta_i-\theta_0\right)-\ln \left(\theta-\theta_0\right)=K T\)    \(\left\{\begin{array}{l}\theta_i \longrightarrow \text { initial temperature } \\ \theta_0 \longrightarrow \text { temperature of surrounding }\end{array}\right\}\)

\(\ln \left(\theta-\theta_0\right)=-K t+\ln \left(\theta_i-\theta_0\right)\)

Comparing to

\(y=m x+C\)