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It looks like you have an image of several tables with equations. I'll go ahead and solve each one, filling in the missing values for the tables.

### 1. \( y = 3x \)

| \( x \) | \( 0 \) | \( 1 \) | \( 2 \) |
|--------|---------|---------|---------|
| \( y \) | \( 3(0) = 0 \) | \( 3(1) = 3 \) | \( 3(2) = 6 \) |

Completed table:

| \( x \) | 0 | 1 | 2 |
|--------|---|---|---|
| \( y \) | 0 | 3 | 6 |

### 2. \( y = 2x \)

| \( x \) | \( 0 \) | \( 1 \) | \( 2 \) | \( 3 \) |
|--------|---------|---------|---------|---------|
| \( y \) | \( 2(0) = 0 \) | \( 2(1) = 2 \) | \( 2(2) = 4 \) | \( 2(3) = 6 \) |

Completed table:

| \( x \) | 0 | 1 | 2 | 3 |
|--------|---|---|---|---|
| \( y \) | 0 | 2 | 4 | 6 |

### 3. \( y = x + 3 \)

| \( x \) | \( -2 \) | \( -1 \) | \( 0 \) | \( 1 \) | \( 2 \) |
|--------|---------|---------|---------|---------|---------|
| \( y \) | \( -2 + 3 = 1 \) | \( -1 + 3 = 2 \) | \( 0 + 3 = 3 \) | \( 1 + 3 = 4 \) | \( 2 + 3 = 5 \) |

Completed table:

| \( x \) | -2 | -1 | 0 | 1 | 2 |
|--------|----|----|---|---|---|
| \( y \) | 1  | 2  | 3 | 4 | 5 |

### 4. \( y = x - 1 \)

| \( x \) | \( 0 \) | \( 1 \) | \( 2 \) | \( 3 \) |
|--------|---------|---------|---------|---------|
| \( y \) | \( 0 - 1 = -1 \) | \( 1 - 1 = 0 \) | \( 2 - 1 = 1 \) | \( 3 - 1 = 2 \) |

Completed table:

| \( x \) | 0  | 1  | 2  | 3  |
|--------|----|----|----|----|
| \( y \) | -1 | 0  | 1  | 2  |

### 5. \( y = -2x + 5 \)

| \( x \) | \( -2 \) | \( -1 \) | \( 0 \) | \( 1 \) | \( 2 \) |
|--------|---------|---------|---------|---------|---------|
| \( y \) | \( -2(-2) + 5 = 4 + 5 = 9 \) | \( -2(-1) + 5 = 2 + 5 = 7 \) | \( -2(0) + 5 = 0 + 5 = 5 \) | \( -2(1) + 5 = -2 + 5 = 3 \) | \( -2(2) + 5 = -4 + 5 = 1 \) |

Completed table:

| \( x \) | -2 | -1 | 0 | 1 | 2 |
|--------|----|----|---|---|---|
| \( y \) | 9  | 7  | 5 | 3 | 1 |

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Would you like a detailed explanation for any of these calculations? Here are some additional questions for practice:

1. What would the equation \( y = 3x + 2 \) look like if plotted for values of \( x = -1, 0, 1 \)?
2. How does the slope of a line affect the steepness of the graph?
3. What happens to the line \( y = 2x \) if the equation changes to \( y = 2x + 4 \)?
4. Can you explain how to find the y-intercept from an equation like \( y = -2x + 5 \)?
5. How would you create a table for the equation \( y = x^2 \)?

**Tip**: Always check the slope in a linear equation—this will tell you how fast the line rises or falls as \( x \) changes.

Fill in the tables for the equations y = 3x, y = 2x, y = x + 3, y = x - 1, and y = -2x + 5.

Learn how to complete tables for the equations y = 3x, y = 2x, y = x + 3, y = x - 1, and y = -2x + 5. This problem involves simple linear equations and provides a step-by-step solution. Suitable for students in Grades 6-8.

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