The equation \(x + y = 2\) represents a straight line when graphed on the Cartesian plane. To graph this equation:

1. **Rewrite the equation in slope-intercept form**:  
   \[
   y = -x + 2
   \]
   This is in the form \(y = mx + b\), where:
   - \(m\) (the slope) = \(-1\)
   - \(b\) (the y-intercept) = 2

2. **Plot the y-intercept**:  
   The y-intercept is 2, meaning the line crosses the y-axis at \((0, 2)\).

3. **Use the slope to find another point**:  
   The slope is \(-1\), which means for every unit you move to the right (positive \(x\)-direction), you move down 1 unit (negative \(y\)-direction). Starting from \((0, 2)\), the next point would be \((1, 1)\).

4. **Plot the points and draw the line**:  
   The points \((0, 2)\) and \((1, 1)\) can be plotted on the graph. Draw a straight line through these points to represent the equation.

The graph of this line will be a straight diagonal line descending from left to right, crossing the y-axis at 2 and the x-axis at 2.

Would you like a visual of the graph or a more detailed explanation of how to interpret it?

Here are 5 related questions:
1. What does the slope of the line represent in real-world terms?
2. How would the graph change if the equation was \(x + y = 3\)?
3. How can you find the x-intercept of the equation \(x + y = 2\)?
4. What happens if you modify the equation to \(x + y = -2\)?
5. How would you graph the equation \(2x + 3y = 6\) in comparison?

**Tip**: Always start graphing a linear equation by identifying the y-intercept and then use the slope to find a second point.

Learn how to graph the equation x + y = 2, which represents a straight line with slope -1 and y-intercept 2. This guide explains how to plot the line, find key points, and understand the graphing process. Suitable for students in Grades 7-9.

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