Question

$y = -\frac{1}{3}x$

x	y
-9	3 $-\frac{1}{3}(-9)=3$
0	0 $-\frac{1}{3}(0)=0$
3	-1 $-\frac{1}{3}(3)=-1$
6	-2 $-\frac{1}{3}(6)=-2$
9	-3 $-\frac{1}{3}(9)=-3$

Explanation:

Step1: Substitute $x=-9$ into equation

$y = -\frac{1}{3}(-9) = 3$

Step2: Substitute $x=0$ into equation

$y = -\frac{1}{3}(0) = 0$

Step3: Substitute $x=3$ into equation

$y = -\frac{1}{3}(3) = -1$

Step4: Substitute $x=6$ into equation

$y = -\frac{1}{3}(6) = -2$

Step5: Substitute $x=9$ into equation

$y = -\frac{1}{3}(9) = -3$

Answer:

$x$	$y$
0	0
3	-1
6	-2
9	-3

The completed table and the graphed line (which matches the calculated points) correctly represent the linear function $y=-\frac{1}{3}x$.