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Linear Graphs

A linear function generates a graph characterized by a slope that does not change. The line-slope-intercept equation provides a way to experiment with linear equations. Here is the line-slope-intercept equation as you have seen it in previous chapters:

f (x) = mx + b or y = mx + b

Drawing from Table 10.1, you can use this equation to generate a line with a positive slope of 2 and a y-intercept at 3:

y = 2x + 3

Table 10.1. Experiments with Linear Equations
ItemDiscussion
y = 2x + 3Creates an equation that slopes upward into quadrant I with the y-intercept at 3. Creates a line that is perpendicular to the line you create with y = 2x

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