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The equation given is \( 4x + 2y = 8 \). We need to find solutions for this equation in terms of pairs \((x, y)\) and complete the table.

### Step-by-Step Solution:

1. **Solve for \(y\):**
   We can rearrange the equation to solve for \(y\) in terms of \(x\).
   \[
   4x + 2y = 8
   \]
   Subtract \(4x\) from both sides:
   \[
   2y = 8 - 4x
   \]
   Divide by 2:
   \[
   y = 4 - 2x
   \]

2. **Complete the Table:**

   Now, use this equation \(y = 4 - 2x\) to find values of \(y\) for given values of \(x\):

   - When \(x = 0\):
     \[
     y = 4 - 2(0) = 4
     \]
     So, the point is \((0, 4)\).

   - When \(x = 1\):
     \[
     y = 4 - 2(1) = 2
     \]
     So, the point is \((1, 2)\).

   - When \(x = 2\):
     \[
     y = 4 - 2(2) = 0
     \]
     So, the point is \((2, 0)\).

Thus, the solution set includes points \((0, 4)\), \((1, 2)\), and \((2, 0)\), which you can plot on the graph.

### Final Answer:
The set of solutions is:
\[
\{(0, 4), (1, 2), (2, 0)\}
\]

Would you like more details on how to plot this or expand further?

### Related Questions:
1. What happens to \(y\) if \(x\) increases beyond 2 in the equation \(4x + 2y = 8\)?
2. How would you describe the slope of the line represented by this equation?
3. Can you find another point on the line, say for \(x = 3\)?
4. What are the intercepts of the graph for the given equation?
5. How does changing the coefficients in the equation \(4x + 2y = 8\) affect the graph?

### Tip:
Always solve for one variable in terms of another when dealing with linear equations. This makes finding pairs of solutions easier!

Learn how to solve the linear equation 4x + 2y = 8 and find solutions for x and y. This solution shows step-by-step how to complete a table of ordered pairs and plot the corresponding points on a graph. Suitable for students in Grades 7-9.

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