Chapter 6. Lines, Slopes, and Functions

This chapter introduces how to generate lines and work with linear equations. You can use the slope-intercept equation to characterize a linear equation. When you make use of this equation, you examine how the slope of a linear equation changes, depending on whether its slope is positive or negative. You also explore how the y-intercept value is associated with the slope-intercept equation. The slope of a linear equation does not change. To determine a slope, you use the ratio of rise to run of the line. If you know the slope of a line and have one set of coordinates for the line, then you can use the point-slope equation to create an equation for the line. Among the topics this chapter covers are the following:

• Further explorations of domains, ranges, and ordered pairs

• How the slopes of lines change

• How a line shifts depending on its y-intercept

• How you can use the rise and run of a line to determine the slope

• How to use the slope and a coordinate to create an equation

• Combining several functions into one