To complete the table you have to input each value of x in the given equation and solve for y:
Function:
[tex]y=-2x+9[/tex]For x= -2
[tex]\begin{gathered} y=-2\cdot(-2)+9 \\ y=4+9 \\ y=13 \end{gathered}[/tex]x= -2 → y=13
For x= 0
[tex]\begin{gathered} y=-2\cdot0+9 \\ y=0+9 \\ y=9 \end{gathered}[/tex]x=0 → y=9
For x= 2
[tex]\begin{gathered} y=-2\cdot2+9 \\ y=-4+9 \\ y=5 \end{gathered}[/tex]x=2 → y=5
For x= 4
[tex]\begin{gathered} y=-2\cdot4+9 \\ y=-8+9 \\ y=1 \end{gathered}[/tex]x=4 → y=1