Answer: C.
[tex]y=-\frac{1}{3}x[/tex]
Explanation
The equation of the line can be written in the slope-intercept form:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Therefore, we can get the y-intercept from the graph:
Thus, the y-intercept is y = 0, meaning that b = 0.
Then, we can replace the point given (3, –1) in the equation and solve for m:
[tex]-1=m(3)+0[/tex][tex]-\frac{1}{3}=m[/tex][tex]m=-\frac{1}{3}[/tex]
Finally, replacing the value we get the equation:
[tex]y=-\frac{1}{3}x[/tex]
