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QUESTION IMAGE

y = \\frac{1}{3}x\ \ | x | y |\ | -9 | \\square |\ | -3 | \\square |\ |…

Question

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

xy\
-9\square\
-3\square\
0\square\
3\square\
9\square

Explanation:

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

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

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

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

Step3: Substitute \( x = 0 \) into \( y = \frac{1}{3}x \)

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

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

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

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

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

Answer:

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

Filling the table:

\( x \)\( y \)
-3-1
00
31
93