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History of Mathematics: Slope of a Line

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Cecilia Sandoval

on 18 December 2013

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Transcript of History of Mathematics: Slope of a Line

Slope of a Line
By: Cecilia Sandoval
Ms. Meija
Period 5 Algebra 1 12/15/13

What is Slope of a Line?
In mathematics, slope describes both the direction and steepness of a line. The slope of a line can either be zero, undefined, increasing, and decreasing. Slope can sometimes be represented by the letter "m". If the line is pointing up to the right then the line has a positive slope. If the line is pointing down to the right then it has a negative slope. If the line is vertical then it has an undefined slopes.If the line is horizontal then it has a zero slope.
Real World Applications #1
In building roads one must figure out how steep the road will be. Architects use math to get the slope of a road which is the direction. Architects do this to get the road safe enough in order for people and cars to pass through. They want to make traveling fun and safe.
Real World Application #2
When constructing wheelchair ramps, slope is a major consideration. Architects use slope to make older people's life's safer. They do the best to protect lives. Having this done people live calmly.
Examples
Positive Slopes
Negative Slopes
Undefined Slopes
Slope: -2/3
Slope: 1/2
Slope: -8
Slope: 4
Real World Application #3
In art, slopes of the lines drawn must be considered to decide what would be the most artistic pleasing to the eye. So what this means is the lines have to be perfectly straight so that the painting looks nice.
History
Renee Descartes was the person that invented slope of a line. This all began in France where he invented slope of a line. Other mathematics say Renee Descartes is acknowledged as the discover of the formula (1595-1650) though there are little write ups on this formula.
Who is affected by it?
If the slope is negative then the line will go down to the right. If the slope is positive then the line will go up to the right. And so on but without the use of slopes Architects won't be able to build anything straight. Such as roads, houses, buildings, and ramps then the world will be dangerous. And as you can see the whole world is affected by the use of slopes.
How Common is it?
The use of slope is really common that we use it almost everyday. We use it when we draw or paint, to make roads, to make buildings, to make ramps, at schools to teach, and etc. We use it everyday we just don't notice we are using it or whats it called.
How can you use it in everyday life?
To measure a Christmas tree's height. To solve some math problems in school. We can use it to build really huge buildings. To measure the steepness of a road. To draw straight lines in a class assignment.
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