Game Development Reference
In-Depth Information
8. To show more of the graph, place the cursor on the top border of the graph
and drag it to the top of the lower equation composition area by holding
down the left mouse button and moving the mouse up.
9. To show more values on the graph, in the lower-left panel find the Zoom
fields for X and Y. Click the X control and set the value to
2. Click the
y
control and set the value to
2.
After implementing the first equation, try the others or improvise to explore
different slopes and intercept values.
Conclusion
In this chapter, you have explored how relations between domain and range
values allow you to understand linear equations. In your explorations of linear
equations, you generated lines that have slopes that do not change. A line with a
slope of 2 maintained its slope for its entire length, which might have extended
indefinitely. In contrast, you explored how lines for other types of equations,
such as parabolas, do not maintain the same slope throughout.
In your exploration of linear functions, you used the line's slope-intercept
equation. This equation allowed you to bring the slope and y-intercept of a line
into a formal relationship. If you assigned a negative value to the slope of an
equation, you forced the line to slope downward into quadrant IV of the
Cartesian plane. If you assigned a negative value to the y-intercept, you shifted
the point at which the line of your equation intersected the
y
axis.
In addition to changing slopes and shifting y-intercepts, you also explored the
way to use the point-slope equation. If you know the slope of a line and one point
on it, then you can use the point-slope equation to create an equation for your
line. This chapter provides preparation for more work with linear equations in
the next chapter, and that chapter in turn equips you to begin working with
non-linear equations.
