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The Cartesian Coordinate System
The Cartesian coordinate system is a system that tells you your exact position on a graph. Why
is this useful? It is useful because you can use this system to graph a series of points that will
provide solutions to your equations. The equations that are used with this system will have two
variables, one for each axis.
The Cartesian coordinate system uses a horizontal axis that is called the x-axis and a vertical
axis called the y-axis. Equations for lines in this system will have both the x and y variable. For
example, the equation 2x + y = 2 is an example of a line in this system. Lots of equations can be
written with these two variables. You can have equations that explain population growth and you
can have equations that explain your cell phone bill.
What does a Cartesian coordinate system look like? It looks like graph paper with a dark line for
the x-axis and another dark line for the y-axis. These two axes cross perpendicular to each other.
The point where they cross is at point 0 for each axis. This graph extends forever in all directions.
Both axes are labeled with numbers according to the number line.
You can think of the x-axis as a horizontal number line and the y-axis as a vertical number line.
When you draw one, though, you only draw it as big as you need it to be. If you only need the x-axis
and the y-axis to go up to 10, then you can stop there for both axes. Let’s look at some examples to
see how it works. Let’s start with points.
POINTS
Before plotting points, let’s talk about how points are labeled. Points are labeled based on their
position on the graph in relation to both the x-axis and the y-axis. For example, if you look at this
point and you draw an imaginary vertical line straight down, you see that it lands where the x-axis
equals 2. This x-axis number will be the first part of your label.
To graph a point, the x-axis value is listed first and the y-axis value is second
Drawing an imaginary horizontal line, you see that it crosses the y-axis where it equals 3. This
is the second part of the label for that point. To label this point, then, you write the first part and
second part separated by a comma inside a pair of parentheses like this: (2, 3).
Look at this second point. Try labeling this one on your own. Where does the imaginary vertical
line cross the x-axis? What about the imaginary horizontal line?
Because the imaginary vertical line crosses the x-axis at 4 and the imaginary horizontal line
crosses the y-axis at — 2, the point is labeled (4, — 2)
Soluções para a tarefa
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Because you cancelar use this system to graph a series of pointer that will provide solutions to your equations
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system,position,points,equations,coordinate,horizontal,vertical,example,Cartesian,perpendicular,directions,number.
Explicação:
é so circular todas essas palavras no texto
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