The standard form is:
[tex]ax+by=c[/tex]We can transform the equation to the standard form as:
[tex]\begin{gathered} y=-\frac{1}{4}x+3 \\ 4y=-x+3\cdot4 \\ 4y+x=12 \\ x+4y=12 \end{gathered}[/tex]Answer: The equation in standard form is x + 4y = 12 (Option C).