To complete the table and sketch the graph of the equation $y = 2x + 2$, we first need to determine the $y$ values for various $x$ values.

Let's start by completing the table for some specific $x$ values:

\hline x & y = 2x + 2 \\ \hline -2 & y = 2(-2) + 2 = -4 + 2 = -2 \\ -1 & y = 2(-1) + 2 = -2 + 2 = 0 \\ 0 & y = 2(0) + 2 = 0 + 2 = 2 \\ 1 & y = 2(1) + 2 = 2 + 2 = 4 \\ 2 & y = 2(2) + 2 = 4 + 2 = 6 \\ \hline \end{array}$$ So, the completed table is: $$\begin{array}{|c|c|} \hline x & y \\ \hline -2 & -2 \\ -1 & 0 \\ 0 & 2 \\ 1 & 4 \\ 2 & 6 \\ \hline \end{array}$$ ### Sketch of the Graph $$y = 2x + 2$$: To sketch the graph: 1. Plot the points from the table: $$(-2, -2)$$, $$(-1, 0)$$, $$(0, 2)$$, $$(1, 4)$$, $$(2, 6)$$. 2. Draw a straight line through these points since the equation is linear. Would you like me to generate the graph for you? --- **Relative Questions:** 1. What happens to the graph if the