(a) $\lambda_{\min} = \frac{hc}{eV} \Rightarrow \log{.\lambda_{\min}} = \log{\frac{hc}{e} - \log V}$
$\Rightarrow \log\lambda_{\min} = - \log{V + \log{\frac{hc}{e}\ }}$
This is the equation of straight line having slope $( - 1)$ and intercept $\log\frac{hc}{e}\ on + \log_{e}\lambda_{\min}$ axis