\(\begin{array}{l}
a)\,d//d' \Leftrightarrow \left\{ \begin{array}{l}
m - 2 = 3\\
3m - 1 \ne 2
\end{array} \right. \Leftrightarrow \left\{ \begin{array}{l}
m = 5\\
m \ne 1
\end{array} \right. \Rightarrow m = 5\\
b)\,d \bot {d_1} \Rightarrow \left( {m - 2} \right).\left( { - 2} \right) = - 1 \Leftrightarrow m - 2 = \frac{1}{2} \Leftrightarrow m = \frac{5}{2}\\
c)\,ycbt \Rightarrow m - 2 \ne - \frac{1}{2} \Leftrightarrow m = 2 - \frac{1}{2} = \frac{3}{2}\\
d)\,Thay\,x = \frac{1}{2};y = - 2\\
\Rightarrow - 2 = \left( {m - 2} \right).\frac{1}{2} + 3m - 1 \Leftrightarrow \frac{7}{2}m = 0 \Leftrightarrow m = 0
\end{array}\)
