we convert the equation to the form y = mx + b, this is
[tex]\begin{gathered} x-3y=24 \\ x-3y+3y=24+3y \\ x=24+3y \\ x-24=24+3y-24 \\ x-24=3y \\ \frac{x}{3}-\frac{24}{3}=\frac{3y}{3} \\ y=\frac{1}{3}x-8 \end{gathered}[/tex]
the slope of two parallel lines is equal, therefore
m = 1/3
then the equation is:
[tex]y=\frac{1}{3}x+3[/tex]
answer: C
