[tex]\begin{gathered} A\text{ linear equation in standard form is one like} \\ ax+by=c \\ \\ we\text{ have } \\ y=-\frac{1}{2}x+6 \\ \\ y+\frac{1}{2}x=6 \\ \\ 2(y+\frac{1}{2}x)=2\cdot6 \\ \\ \\ 2y+x=12 \\ \\ \text{ The equatioo in standard form is} \\ 2y+x=12 \end{gathered}[/tex]
