Answer :
Given
[tex]\begin{gathered} -12x+3y=4 \\ 4x-y=4 \end{gathered}[/tex]
Procedure
First, we will determine the slopes.
[tex]\begin{gathered} -12x+3y=4 \\ y=\frac{12}{3}x+\frac{4}{3} \\ y=4x+\frac{4}{3} \\ m=4 \end{gathered}[/tex][tex]\begin{gathered} 4x-y=4 \\ y=4x-4 \\ m=4 \end{gathered}[/tex]They have equal slopes and are therefore parallel.