fill in the table below for the corresponding x values

In order to find the y-values, we need to substitute the x-values into the given function. That is, for x=-2, we have
[tex]\begin{gathered} y=-3(-2)+4 \\ \text{then} \\ y=6+4 \\ y=10 \end{gathered}[/tex]So, the first row of our table is -2 10.
Similarly, by substituting x=0 into the function, we have
[tex]\begin{gathered} y=-3(0)+4 \\ y=4 \end{gathered}[/tex]By substituting x=2 into our function, we have
[tex]\begin{gathered} y=-3(2)+4 \\ y=-6+4 \\ y=-2 \end{gathered}[/tex]and finally, by substituting x=4 into our function, we get
[tex]\begin{gathered} y=-3(4)+4 \\ y=-12+4 \\ y=-8 \end{gathered}[/tex]Therefore, the table is: