Explanation
Given the point (12,3) and a slope of -1/3, the equation of the line can be gotten using the formula below.
[tex]m=\frac{y-y_1}{x-x_1}[/tex]
Therefore,
[tex]\begin{gathered} -\frac{1}{3}=\frac{y-3}{x-12} \\ -x+12=3y-9 \\ 3y=-x+12+9 \\ 3y=-x+21 \\ y=\frac{-x+21}{3} \\ y=-\frac{x}{3}+_{}7 \end{gathered}[/tex]
Answer
[tex]y=-\frac{x}{3}+7[/tex]
