The equation \( X + Y = 1 \) is a linear equation in two variables, \( X \) and \( Y \). Since this is an equation with two unknowns, it represents a straight line when graphed on a coordinate plane.

### Here are a few details:
- **General solution**: You can express one variable in terms of the other. For instance:
  - \( X = 1 - Y \)
  - \( Y = 1 - X \)

### Graphically:
This equation represents a line with a slope of \( -1 \) and a y-intercept of \( 1 \).

Would you like to explore the graph, or do you have any specific questions about this?

### Five related questions:
1. What is the slope of a line represented by a different linear equation?
2. How would you solve this system with a second equation, like \( 2X - Y = 3 \)?
3. How do you find the intersection of two lines?
4. How would you solve for \( X \) and \( Y \) if both were given specific values?
5. What happens if you graph \( X + Y = 1 \) and a parallel line?

**Tip**: Any linear equation can be easily graphed by finding two points that satisfy it and drawing a line through them!

Understand how to solve the linear equation X + Y = 1. Learn the key concepts in algebra, including how to express one variable in terms of another and graph the equation. This problem demonstrates the slope-intercept form of a line with a slope of -1 and a y-intercept of 1. Suitable for Grades 7-9.

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