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The standard form is given by:
[tex]Ax+By=C[/tex]Using the data provided and the slope point equation:
[tex]\begin{gathered} y-y1=m(x-x1) \\ y-2=-\frac{1}{3}(x-1) \\ y-2=-\frac{1}{3}x+\frac{1}{3} \\ \frac{1}{3}x+y=\frac{7}{3} \end{gathered}[/tex]