Answer:
x-3y=18
Explanation:
To determine the equation of the line, we use the point-slope form
[tex]y-y_1=m(x-x_1)[/tex]Given that:
[tex]m=\frac{1}{3},(x_{1,}y_1)=(-6,-8)[/tex]We therefore have:
[tex]y-(-8)=\frac{1}{3}(x-(-6))[/tex]We can then simplify:
[tex]\begin{gathered} y+8=\frac{1}{3}(x+6) \\ 3(y+8)=x+6 \\ 3y+24=x+6 \\ 3y-x=6-24 \\ 3y-x=-18 \\ x-3y=18 \end{gathered}[/tex]