SUMMARY
The discussion confirms that the point (a, 4a) lies on the graph of the equation y = 4x. By substituting x = a into the equation, it is established that y equals 4a, validating the point's position on the graph. The solution demonstrates a straightforward application of algebraic principles to verify point coordinates against a linear equation.
PREREQUISITES
- Understanding of linear equations
- Basic algebraic substitution
- Familiarity with coordinate systems
- Knowledge of graphing techniques
NEXT STEPS
- Explore the concept of slope-intercept form in linear equations
- Learn about graphing linear equations using different points
- Study the implications of point coordinates on graph behavior
- Investigate the relationship between variables in algebraic equations
USEFUL FOR
Students learning algebra, educators teaching linear equations, and anyone interested in understanding graphing fundamentals.