Understanding Slope-Intercept Graphing Method for Linear Functions

Dec 30, 2025

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This section explores the slope-intercept method of graphing linear functions, defined by the equation y = mx + b. Here, 'm' represents the slope, indicating the steepness and direction of the line, while 'b' denotes the y-intercept, the point at which the line crosses the y-axis. Visualize the slope as rise over run; a positive slope means the line ascends from left to right, while a negative slope descends. Special cases include horizontal lines represented by y = c and vertical lines represented by x = c.

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Understanding Slope-Intercept Graphing Method for Linear Functions

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Section 4.2 Slope-Intercept Method of Graphing
Recall the slope-intercept form of a linear function:______________________ The slope of the graph is ____ and the y-intercept ____. When graphing think of the slope as _____ over ______. If the slope is positive, the graph should go ___________. If the slope is negative, the graph should go ____________. y=mx+b m b rise run uphill downhill
Special cases: The graph of y = c is a ______________________ line through (0,c) The graph of x = c is a _________________ line through (c,0) Horizontal Vertical