Linear Functions

Introduction

Linear functions are fundamental mathematical equations that describe a straight line when graphed. These functions are expressed in the form y = mx + b where m represents the slope and b denotes the y-intercept. Understanding linear functions is crucial as they arise in various fields, including physics, economics, and computer science.

Understanding the Components

To comprehend linear functions, it's essential to know the parts that constitute them:

• Slope (m): Indicates the steepness of the line. A positive slope rises from left to right, while a negative slope falls.
• Y-Intercept (b): Represents the point at which the line crosses the y-axis. This value determines the vertical positioning of the line.

Conclusion

Linear functions serve as a foundation for more complex mathematical concepts. Understanding their properties and behavior enables problem-solving across various disciplines.