The correct answer is A.) f(x)=

x+1
This is because using slope intercept form (y=mx+b), we can solve.
m = slope
b= y-intercept
If you look at the graph, you can see the line crosses they y-axis at 1.
And if you follow the line using rise over run, you find that it is 1/3.
But because it is a negative line, it makes the slope negative.
Hope this helps!