A linear function is a type of mathematical function that can be represented by a linear equation, which has the general form y=mx+b.
In this equation: y is the dependent variable (output). x is the independent variable (input). m is the slope of the line, representing the rate of change. b is the y-intercept, the point where the line crosses the y-axis.
The graph of a linear function is a straight line. The slope (m) determines the steepness of the line: a positive slope means the line goes uphill, a negative slope means it goes downhill, and zero slope means a horizontal line. The y-intercept (b) is the point where the line crosses the y-axis (when = x=0).
The equation y=mx+b is often referred to as the slope-intercept form. This form makes it easy to identify the slope and y-intercept directly from the equation.
Explain Linear Functions