Lines are used and seen everyday! There are lines everywhere. When people think of a line, they usually think of a solid bar. The truth is that lines are made up of an infinite number of points that stretch infinitely in opposite directions. If you ask someone to draw a line, the will probably draw something like this: . This is wrong. A line, remember, stretches infinitely in opposite directions.
Vertical and Horizontal Lines.
Before getting to the complicated world of graphing lines with equations, first we will graph simple lines. A Coordinate Plane is used to graph lines on. It consists of a horizontal axis called the x-axis, and a vertical axis called the y-axis. The two lines meet at a point called the origin. The graph of X = 5 ( See fig. 1) would be a vertical line even though the x - axis is a horizontal line. The same for the graph of y = 5 ( See fig. 2), except that line would be horizontal while the y - axis is vertical. .
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Graphing.
To graph a point on the coordinate plane, you need an ordered pair. An ordered pair is expressed as follows: (3, 4). The numbers inside tell you where to place the point. The first number represents the x-axis. It shows in which direction to move and how many units to move ( See fig. 3). The second number represents the y-axis. It too shows in which direction to move and how many units to move it ( See fig. 4). .
To graph, you first need an equation such as Y = 2x + 5 ( this type of equation will be covered in more detail). To compute a set of points to plot on the graph, a table of values must be used. In this table the x - value is a constant set of numbers. Plug in those numbers in place of the "x" in the equation Y = 2x + 5. Solve the equation for "y". Now that you have your table completed, plotting points can be used to construct a line. With the x/y values, ordered pairs such as (-3, -1) and (-2, 1) can be used in the graph.
The invasion site would have to be close to at least one major port and airbase to allow for efficient supply lines. ... Dummy troops, false radio traffic, dummy landing craft in the bay of the Thames river, huge but unoccupied camps, dummy tanks-all contributed to the deception. ...
The invasion site would have to be close to at least one major port and airbase to allow for efficient supply lines. ... Dummy troops, false radio traffic, dummy landing craft in the bay of the Thames river, huge but unoccupied camps, dummy tanks-all contributed to the deception. ...
On page 166, the story says, " Gawiaine charging across the field toward the dummy paper dragon."" ... On page 171, the last paragraph and the first 10 lines of it are the theme of the story. I chose those lines as an example of theme because it shows the Professor and the Headmaster are selfish and only care about money. 11. ... On page 166, the story says, "Paper gave way to Paper-Mache and finally to wood, but even the toughest of those dummy dragons held no terrors for Gawaine."" ...
The invasion site had to be close to at least one major port and airbase to allow for efficient supply lines. ... Dummy troops, false radio traffic, dummy landing crafts in the bay of the Thames River, huge but unoccupied camps and dummy tanks all helped fool the Nazis. ...
They also would use paratroopers to move troops behind enemy lines. ... One plan to deceive the Germans included creating dummy encampments to convince the Germans that their forces were twice their actual size. ... Between April 1st and June 5th 1944, the British and American air forces flew 200,000 sorties, dropping 195,000 bombs on roads and rail lines. ... Paratroopers who would land behind German lines would require a full moon for good visibility. ...
They also would use paratroopers to move troops behind enemy lines. ... One plan to deceive the Germans included creating dummy encampments to convince the Germans that their forces were twice their actual size. ... Between April 1st and June 5th 1944, the British and American air forces flew 200,000 sorties, dropping 195,000 bombs on roads and rail lines. ... Paratroopers who would land behind German lines would require a full moon for good visibility. ...
For example, Boeing Aircraft accused Airbus of bugging Boeing employees' hotel rooms and airline seats and tapping the telephone lines in order to get information. ... An MCI assistant was arrested for selling thousands of credit card numbers obtained over telecommunication lines. ... Competitors will often do whatever is necessary to get an edge on their industry leaders by riffling through their competitors' trash, bugging phone lines, and now breaking into their competitors' networks in an attempt to gather inside information. ... For example, an accountant could use a com...
They also would use paratroopers to move troops behind enemy lines. ... One plan to deceive the Germans included creating dummy encampments to convince the Germans that their forces were twice their actual size. ... Between April 1st and June 5th 1944, the British and American air forces flew 200,000 sorties, dropping 195,000 bombs on roads and rail lines. ... Paratroopers who would land behind German lines would require a full moon for good visibility. ...
Computerized telephone switching centers play traffic cop to millions of calls and keep lines of communication untangled. ... As David Pogue, former columnist for Macworld and author of Macs for Dummies, states in his July 11, 2002 article in the New York Times, Are Gadgets Already Too Small, "I realized that in several respects, no further extrapolation is possible. ...