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Let's analyze the given equation and complete the table, plotting the points and drawing the line:

The equation is \( y = x - 2 \).

### Step 1: Fill in the table of values
We can select a few values for \( x \), then substitute them into the equation to find corresponding \( y \)-values.

1. For \( x = -2 \): 
   \[
   y = -2 - 2 = -4
   \]
2. For \( x = -1 \): 
   \[
   y = -1 - 2 = -3
   \]
3. For \( x = 0 \): 
   \[
   y = 0 - 2 = -2
   \]
4. For \( x = 1 \): 
   \[
   y = 1 - 2 = -1
   \]

So, the table of values would be:

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

### Step 2: Plot the points
The points based on the table are:

- \( (-2, -4) \)
- \( (-1, -3) \)
- \( (0, -2) \)
- \( (1, -1) \)

### Step 3: Draw the line
Once the points are plotted, you can draw a straight line passing through all four points. This is the graph of the equation \( y = x - 2 \), which is a straight line with a slope of 1 (since \( y = mx + b \), where the slope \( m = 1 \)) and a y-intercept at \( -2 \).

If you'd like, I can guide you through plotting and drawing the line visually on your graph.

---

Do you have any questions, or would you like more details on any part of this process?

### Related questions:
1. What would the line look like if the equation were \( y = x + 2 \)?
2. How does the slope affect the steepness of the line?
3. Can you find the equation of a line with a slope of 2 and a y-intercept of -3?
4. How do we determine if two lines are parallel?
5. What happens if we use fractions or decimals for \( x \) instead of integers?

**Tip**: When plotting linear equations, the slope tells you how much \( y \) changes for each unit increase in \( x \). For example, a slope of 1 means that for every 1 unit increase in \( x \), \( y \) increases by 1.

Plot the line for the equation y = x - 2 by first filling the table of values and plotting 4 points.

Learn how to plot the linear equation y = x - 2 on a coordinate plane. This guide covers how to fill out a table of values and graph the line step-by-step. Ideal for students in Grades 6-8 learning about linear equations and graphing.

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