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Mathematics LibreTexts

3: Linear Functions

  • Page ID
    19698
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    • 3.1: Linear Models
    • 3.2: Slope
      In the previous section on Linear Models, we saw that if the dependent variable was changing at a constant rate with respect to the independent variable, then the graph was a line. You may have also learned that higher rates led to steeper lines (lines that rose more quickly) and lower rates led to lines that were less steep. In this section, we will connect the intuitive concept of rate developed in the previous section with a formal definition of the slope of a line.
    • 3.3: Equations of Lines
      In this section we will develop the slope-intercept form of a line. When you have completed the work in this section, you should be able to look at the graph of a line and determine its equation in slope-intercept form.
    • 3.4: The Point-Slope Form of a Line
      In the last section, we developed the slope-intercept form of a line (y = mx + b). The slope-intercept form of a line is applicable when you’re given the slope and y-intercept of the line. However, there will be times when the y-intercept is unknown.
    • 3.5: The Line of Best Fit
    • 3.6: Chapter 3 Exercises with Solutions

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