Complete the tables below by determining the values for each equation. Plot each point (x, y) on the Cartesian plane.

For $x = -2$: $y = 3(-2) + 2 = -6 + 2 = -4$
For $x = -1$: $y = 3(-1) + 2 = -3 + 2 = -1$
For $x = 0$: $y = 3(0) + 2 = 0 + 2 = 2$
For $x = 1$: $y = 3(1) + 2 = 3 + 2 = 5$
For $x = 2$: $y = 3(2) + 2 = 6 + 2 = 8$

The completed table is:

$$\begin{array}{|c|c|c|c|c|c|} \hline x & -2 & -1 & 0 & 1 & 2 \\ \hline y & \textbf{-4} & \textbf{-1} & \textbf{2} & \textbf{5} & \textbf{8} \\ \hline \end{array}$$

For $x = -3$: $y = 8(-3) + 3 = -24 + 3 = -21$
For $x = -1$: $y = 8(-1) + 3 = -8 + 3 = -5$
For $x = 0$: $y = 8(0) + 3 = 0 + 3 = 3$
For $x = 2$: $y = 8(2) + 3 = 16 + 3 = 19$
For $x = 4$: $y = 8(4) + 3 = 32 + 3 = 35$

The completed table is:

$$\begin{array}{|c|c|c|c|c|c|} \hline x & -3 & -1 & 0 & 2 & 4 \\ \hline y & \textbf{-21} & \textbf{-5} & \textbf{3} & \textbf{19} & \textbf{35} \\ \hline \end{array}$$

For $x = -6$: $y = -6(-6) + 2 = 36 + 2 = 38$
For $x = -5$: $y = -6(-5) + 2 = 30 + 2 = 32$
For $x = 0$: $y = -6(0) + 2 = 0 + 2 = 2$
For $x = 5$: $y = -6(5) + 2 = -30 + 2 = -28$
For $x = 6$: $y = -6(6) + 2 = -36 + 2 = -34$

The completed table is:

$$\begin{array}{|c|c|c|c|c|c|} \hline x & -6 & -5 & 0 & 5 & 6 \\ \hline y & \textbf{38} & \textbf{32} & \textbf{2} & \textbf{-28} & \textbf{-34} \\ \hline \end{array}$$