Answer:
[tex]y=\frac{1}{9}x-\frac{1}{3}[/tex]
Explanation:
The equation of a line in slope-intercept form is given by
[tex]y=mx+b[/tex]
where m = slope and b = y-intercept.
Now in our case, the equation we have is
[tex]y+\frac{1}{3}=\frac{1}{9}x[/tex]
to change it to the slope-intercept form, we have to do some subtraction.
We subtract 1/3 from both sides to get
[tex]y+\frac{1}{3}-\frac{1}{3}=\frac{1}{9}x-\frac{1}{3}[/tex]
the 1 /3 's cancel from the left-hand side, leaving us with
[tex]\boxed{y=\frac{1}{9}x-\frac{1}{3}}[/tex]
Note that the equation above is now in slope-intercept form. The slope, if one is curious, is 1/9 and the y-intercept is - 1/3.
Now, looking at the answer choices given, we see that the option at the very bottom ( the5th choice) matches what we got above. Therefore, the fifth answer choice is the correct option to choose.
