Question

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

$x$	$y$
0
3
6
9

(coordinate plane grid omitted from ocr as its a chart element)

Explanation:

Step1: Substitute \( x = -9 \) into \( y = -\frac{1}{3}x \)

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

Step2: Substitute \( x = 0 \) into \( y = -\frac{1}{3}x \)

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

Step3: Substitute \( x = 3 \) into \( y = -\frac{1}{3}x \)

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

Step4: Substitute \( x = 6 \) into \( y = -\frac{1}{3}x \)

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

Step5: Substitute \( x = 9 \) into \( y = -\frac{1}{3}x \)

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

Answer:

For \( x = -9 \), \( y = 3 \); for \( x = 0 \), \( y = 0 \); for \( x = 3 \), \( y = -1 \); for \( x = 6 \), \( y = -2 \); for \( x = 9 \), \( y = -3 \)

Filling the table:

\( x \)	\( y \)
0	0
3	-1
6	-2
9	-3