Answer:
[tex]y = \frac{1}{3}x + 8[/tex]
Step-by-step explanation:
using the slope-intercept formula, u have this so far as an equation (just knowing the slope): [tex]y = \frac{1}{3}x + b[/tex]
To find the y-intercept, substitute in the values of the coordinates given to solve for b:
[tex]y = \frac{1}{3}x + b\\5 = \frac{1}{3}(-9) + b\\5 = -3 + b\\8 = b[/tex]
so u can just put 8 into your slope-intercept formula ([tex]y = \frac{1}{3}x + 8[/tex]) and that's it! hope this helps!