Linear and Quadratic Functions: Writing and Graphing Linear Functions

Slope-Intercept Form of Linear Equations

There are several ways to describe linear functions. One way is called the slope-intercept form. The slope-intercept form of a line is given as y = mx + b, where m equals the slope and b is the y-intercept. You just reviewed the slope of linear functions, but what is the y-intercept? The y-intercept is where the graph crosses the y-axis. For example, graph y equal to one half x plus two.

Graph of y equals one-half x plus two
Graph of y equal to one half x plus two

The line has a y-intercept of 2, therefore the line crosses the y-axis at 2.