Answer:
[tex]y=\frac{1}{3} x+5[/tex]
Step-by-step explanation:
We know that since the equation of the line that we need to find has to be parallel, it must have the same slope. Also, the slope-intercept formula is:
[tex]y=mx+b[/tex]
Plugging in the values we know:
[tex]8=\frac{1}{3} (9)+b[/tex]
We solve for [tex]b[/tex] and get:
[tex]b=5[/tex].
So, the equation of our new line must be:
[tex]y=\frac{1}{3} x+5[/tex]
