A linear function is a mathematical function that can be represented by a straight line on a coordinate grid. It has the form y = mx + b, where m is the slope of the line and b is the y-intercept.
Attached diagram.
A linear function is a mathematical function that can be represented by a straight line on a coordinate grid.
It has the form y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.
The slope represents the rate of change between the independent variable (x) and the dependent variable (y).
For example, let's say we have a linear function y = 2x + 3.
This means that for every increase of 1 in x, y increases by 2.
The y-intercept is point (0, 3), which is where the line crosses the y-axis.
Attached diagram.
Linear functions are used to model and analyze relationships between two variables in various fields, including physics, economics, and engineering.