Let's find the linear function which represents the table:
[tex]\begin{gathered} y=mx+b \\ for \\ x=2,y=4 \\ 4=2m+b_{\text{ }}(1) \\ ---- \\ for \\ x=10,y=20 \\ 20=10m+b_{\text{ }}(2) \\ (2)-(1) \\ 16=8m \\ m=\frac{16}{8}=2 \\ ---- \\ 4=2(2)+b \\ b=4-4=0 \end{gathered}[/tex]
So:
[tex]y(x)=2x[/tex]
For:
[tex]\begin{gathered} x=3 \\ y(3)=2(3)=6 \\ ----- \\ x=7 \\ y\mleft(7\mright)=2\mleft(7\mright)=14 \\ ----- \\ x=9 \\ y(9)=2(9)=18 \end{gathered}[/tex]
Answer:
(3,6)
(7,14)
(2,18)
