SUMMARY
The equation of a line with a slope of 0 and a y-intercept of 14 is definitively y = 14. This represents a horizontal line, indicating that the value of y remains constant regardless of the value of x. The general formula for a line is y = mx + b, where m is the slope and b is the y-intercept. In this case, substituting the slope (m = 0) results in the simplified equation y = 0x + 14, confirming that y equals 14.
PREREQUISITES
- Understanding of linear equations
- Familiarity with slope-intercept form (y = mx + b)
- Basic knowledge of constant functions
- Ability to interpret graphical representations of equations
NEXT STEPS
- Study the properties of constant functions
- Explore the concept of slope in linear equations
- Learn how to graph horizontal and vertical lines
- Investigate the implications of different slopes on line behavior
USEFUL FOR
Students learning algebra, educators teaching linear equations, and anyone interested in understanding the fundamentals of graphing functions.