SUMMARY
The equation of a line with a given slope of 14 and a y-intercept of 0 is definitively expressed as y = 14x. This equation confirms that the line passes through the origin, as all lines of the form y = mx will intersect the origin at the point (0,0). The discussion emphasizes the general principle that for any value of x, the corresponding point on the line can be calculated using the formula y = mx.
PREREQUISITES
- Understanding of linear equations
- Familiarity with slope-intercept form (y = mx + b)
- Basic knowledge of coordinate geometry
- Ability to interpret points on a graph
NEXT STEPS
- Study the concept of slope and its geometric interpretation
- Explore the properties of linear functions
- Learn how to graph linear equations using different slopes and intercepts
- Investigate the relationship between linear equations and their graphical representations
USEFUL FOR
Students learning algebra, educators teaching linear equations, and anyone interested in understanding the fundamentals of graphing lines in coordinate geometry.