Question

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Answer 1

we convert the equation to the form y = mx + b, this is

`\begin{gathered} x-3y=24 \\ x-3y+3y=24+3y \\ x=24+3y \\ x-24=24+3y-24 \\ x-24=3y \\ (x)/(3)-(24)/(3)=(3y)/(3) \\ y=(1)/(3)x-8 \end{gathered}`

the slope of two parallel lines is equal, therefore

m = 1/3

then the equation is:

`y=(1)/(3)x+3`

answer: C