SUMMARY
The discussion confirms that the point (a - 1, a + 1) lies on the graph of the equation y = x + 2. By substituting x with (a - 1) in the equation, the resulting y value matches the given point's y-coordinate, validating the conclusion. The mathematical verification process demonstrates that both sides of the equation are equal, affirming the point's position on the graph.
PREREQUISITES
- Understanding of linear equations
- Knowledge of substitution methods in algebra
- Familiarity with coordinate systems
- Basic algebraic manipulation skills
NEXT STEPS
- Study the properties of linear equations in two variables
- Learn about graphing techniques for linear functions
- Explore the concept of points and lines in coordinate geometry
- Investigate more complex equations and their graphical representations
USEFUL FOR
Students learning algebra, educators teaching linear equations, and anyone interested in understanding the relationship between algebraic expressions and their graphical representations.