2.1.3 Graphing Linear Functions
Key Objectives • Determine whether functions are linear. • Graph linear functions given two points, a table, an equation, or a point and a slope. • Graph linear functions using the intercepts. • Graph vertical and horizontal lines. Key Terms • A linear function is a function with a constant rate of change whose graph is a nonvertical line. • The slope of a line is a measure of its steepness and is the ratio of rise to run. • The x -intercept is the x -coordinate of the point where the graph crosses the x -axis. • The y -intercept is the y -coordinate of the point where the graph crosses the y -axis. • A linear equation is in slope-intercept form when it is written in the form y = mx + b , where m represents slope and b represents the y -intercept. Example 1 Recognizing Linear Functions Functions with a constant rate of change are called linear functions.
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