The image shows a linear equation $y = \frac{2}{3}x + 2$, a table with empty $x$ and $y$ values, and a coordinate plane grid for graphing. To complete the table and graph the equation, we can choose specific values for $x$, compute the corresponding values for $y$, and plot them.

Step-by-Step Process:

1. Choose $x$-values: Let's pick three easy values for $x$, such as -3, 0, and 3.

2. Substitute into the equation:

   • For $x = -3$: $y = \frac{2}{3}(-3) + 2 = -2 + 2 = 0$
   • For $x = 0$: $y = \frac{2}{3}(0) + 2 = 0 + 2 = 2$
   • For $x = 3$: $y = \frac{2}{3}(3) + 2 = 2 + 2 = 4$

3. Complete the table:

4. Plot the points on the grid:
   • Plot the points (-3, 0), (0, 2), and (3, 4).
   • Draw a straight line through these points to represent the equation $y = \frac{2}{3}x + 2$.

Would you like further details or have any questions? Here are some related questions to explore:

1. How do you calculate the slope from the equation $y = \frac{2}{3}x + 2$?
2. What does the value 2 represent in the equation $y = \frac{2}{3}x + 2$?
3. Can you choose other values for $x$ to complete the table?
4. What happens if you substitute negative or larger numbers for $x$?
5. How can you determine the y-intercept from the equation?

Tip: The slope in the equation $y = \frac{2}{3}x + 2$ tells you that for every 3 units you move right on the x-axis, the y-value increases by 2.