Graphs and Effects of Parameter Changes - Research Article from Macmillan Science Library: Mathematics

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Graphs of Straight Lines

The graph of the simple equation y = 1x, or y = x, is graphed in (a) below. The line passes through every coordinate point where x = y, such as (2, 2) or (–3, –3).

Notice what happens to the graph of the equation when the parameters of the equation are changed by using a different coefficient for x, such as y = 3x. As part (a) shows, the new line has a steeper slope. If the coefficient is further increased, the slope will become even steeper, and the line will become closer to vertical.

Graphs and Effects of Parameter Changes

Conversely, if the coefficient for x is decreased, a different change in the line occurs. As part (b) above shows, the line for has a more gradual slope than the line for y=x. If the coefficient were to be further decreased, the line would become flatter, and it would...


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This section contains 1,054 words
(approx. 4 pages at 300 words per page)
Buy the Graphs and Effects of Parameter Changes Encyclopedia Article
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Macmillan Science Library: Mathematics
Graphs and Effects of Parameter Changes from Macmillan Science Library: Mathematics. Copyright © 2001-2006 by Macmillan Reference USA, an imprint of the Gale Group. All rights reserved.
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