first rewrite the equation
[tex]\begin{gathered} 2y-4x=9 \\ 2y=9+4x \\ y=\frac{9}{2}+2x \end{gathered}[/tex]2 parallel equations have the same slope , so the slope is 2
to write the nes equation we must start from the general equation
[tex]y=mx+b[/tex]where m is the slope and b the y-intercept
now we can replace the slope and the point (-2,1) to find b
[tex]\begin{gathered} (1)=(2)(-2)+b \\ 1=-4+b \\ b=1+4 \\ b=5 \end{gathered}[/tex]then replace b and the slope on th general equation to find the new equation
[tex]y=2x+5[/tex]