Game Development Reference
In-Depth Information
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
n
n How the slopes of lines change
n How a line shifts depending on its y-intercept
n How you can use the rise and run of a line to determine the slope
n How to use the slope and a coordinate to create an equation
n Combining several functions into one
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