Overview
Linear functions are foundational concepts in mathematics that describe relationships between two variables. They are represented by equations of the form y = mx + b, where m is the slope and b is the y-intercept. Understanding these functions is crucial for graphing and analyzing data in various fi...
Key Terms
Example: y = 2x + 3 is a linear function.
Example: A slope of 2 means the line rises 2 units for every 1 unit it runs.
Example: In y = 2x + 3, the y-intercept is 3.
Example: The graph of y = x is a straight line through the origin.
Example: The x-axis and y-axis form the coordinate plane.
Example: If a line goes from (1, 2) to (1, 5), the rise is 3.
Related Topics
Quadratic Functions
Functions that graph to a parabola, showing more complex relationships than linear functions.
intermediateSystems of Equations
A set of equations with multiple variables, often solved graphically or algebraically.
intermediateInequalities
Mathematical expressions that show the relationship between quantities that are not equal.
intermediateKey Concepts
slopey-interceptlinear equationgraphing