\(\left(d'\right):\left\{{}\begin{matrix}x=1-3t\\y=4+5t\end{matrix}\right.\) ??
\(\Rightarrow vtcp_{d'}=\left(-3;5\right)\Rightarrow vtpt=\left(5;3\right)\)
\(\left(d\right)//\left(d'\right)\Rightarrow vtpt_d=\left(5;3\right)\)
\(\Rightarrow\left(d\right):5\left(x-2\right)+3\left(y-5\right)=0\) \(\Leftrightarrow\left(d\right):5x+3y-25=0\)