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The cartesian coordinate plane is a virtical line (the y axis) running through a horizontal line (the x axis). It forms a cross which divides the grid that it's placed on into four quadrants. The quadrants are labeled 1, 2, 3, and 4, in counter clockwise direction, starting in the upper right corner. The point where the x and y axis meet, (0,0) is called the origin. You can graph points on the line by counting the amount f points in the first number of the coordinate (x) on the x axis, and then the second on the y. for example the coordinate (1,2) would be one space to the right and two up. Here's a URL for a picture of it.

http://miniurl.com/6307

Q: How does a Cartesian coordinate system look like?

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Its like a grid separated in four quadrants with an x and y axis, with labeled coordinated (3,-4)

The negative ordinate represents a negative y coordinate. A negative abscissa implies a negative x coordinate. Therefore the coordinate should look like (-x,-y). These coordinates are located at third quadrant.

Functions (lines, parabolas, etc.) whose graphs never intersect each other.

They look like your face! haha...i would no...

To form an A-B-A-B-... hexagonal close packing of spheres, the coordinate points of the lattice will be the spheres' centers. Suppose, the goal is to fill a box with spheres according to hcp. The box would be placed on the x-y-z coordinate space.First form a row of spheres. The centers will all lie on a straight line. Their x-coordinate will vary by 2r since the distance between each center if the spheres are touching is 2r. The y-coordinate and z-coordinate will be the same. For simplicity, say that the balls are the first row and that their y- and z-coordinates are simply r, so that their surfaces rest on the zero-planes. Coordinates of the centers of the first row will look like (2r, r, r), (4r, r, r), (6r ,r, r), (8r ,r, r), ... . The sphere centered at x = 0 is immediately omitted because part of the sphere would lie outside.Now, form the next row of spheres. Again, the centers will all lie on a straight line with x-coordinate differences of 2r, but there will be a shift of distance r in the x-direction so that the center of every sphere in this row aligns with the x-coordinate of where two spheres touch in the first row. This allows the spheres of the new row to slide in closer to the first row until all spheres in the new row are touching two spheres of the first row. Since the new spheres touch two spheres, their centers form an equilateral triangle with those two neighbors' centers. The side lengths are all 2r, so the height or y-coordinate difference between the rows is . Thus, this row will have coordinates like this:

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Coordinates are pairs of numbers used to specify the precise location of a point in a space, such as a grid or map. In a two-dimensional coordinate system, like the Cartesian plane, the coordinates consist of an x-value (horizontal) and a y-value (vertical). In a three-dimensional system, a z-value is added to represent depth.

the lowest or highest point on the coordinate grid/ graph

If you mean: y = 7 on the Cartesian plane then it is a straight horizontal line parallel to the x axis.

the y-axis is vertical, and the x- axis is horizontal

Yes. All you need is three mutually perpendicular axes (instead of two). To visualise this, look at the corner of a room. There will be three lines coming together at the corner: floor and one wall, floor and another wall, and the two walls. These three lines would act as your axes to describe the 3-d space of the room. The axes are usually labelled x, y and z. Mathematicians (and physicists) have no problem in dealing with coordinate systems in 4 or more dimensions.

Its like a grid separated in four quadrants with an x and y axis, with labeled coordinated (3,-4)

You first look at each axes

6

If you're asking for the graph, then the function y=x would look like a diagonal line going towards the upper-right hand corner of the coordinate plane.

Yes, math would be different without RenΓ© Descartes' discovery of analytic geometry. Descartes developed the Cartesian coordinate system, which introduced the use of algebraic equations to describe geometric shapes. This synthesis of algebra and geometry revolutionized mathematics, allowing for the development of new mathematical techniques and theories.

The negative ordinate represents a negative y coordinate. A negative abscissa implies a negative x coordinate. Therefore the coordinate should look like (-x,-y). These coordinates are located at third quadrant.

It looks like a sensetive thing