What is the answer of x y2

x-y coordinate system with points

You can learn here what an x-y coordinate system is and how to enter points in it. Let's look at this:

  • A Explanationwhat a coordinate system is.
  • Lots Examples for entering points.
  • Tasks / exercises so that you can practice this topic yourself.
  • A Video to this topic.
  • A Question and answer area to this area.

Note: If you have problems understanding the following content, you may be missing some previous knowledge. If the topics number line and natural numbers (1, 2, 3, 4, 5, ...) mean nothing at all, you can read them by clicking on them. Otherwise, let's look at a simple coordinate system now.

Explanation of the x-y coordinate system

Perhaps one or the other still remembers a number line. Put simply, it is a "line" on which counting continues at equal intervals. A very simple number line looks like this:

You can use it to say on a line whether something is further to the left (for example at the 2) or further to the right (for example at the 8). However, if you have a table and place a bottle of water on it, it can not only go left or right, but also up and down. Therefore you can now take a second number line and let it run from top to bottom. The next graphic shows you this:

The number line from left to right is called the x-direction and the number line from bottom to top is called the y-direction. The whole thing is now called Coordinate system. Since the directions (also called axes) were designated with x and y, this is also called x-y coordinate system.

Such a coordinate system is used, for example, to describe the position of an object. As above, let's assume that this is a bottle that is on a table. We will draw the bottom of it with a circle in the coordinate system.

We can move this bottle on the table. A little up or to the right, for example. But what if we move it far to the left, or far down? Or even do both (left and down)? Then the bottle is to the left of the y-axis or below the x-axis. Or both.

For this reason, one sometimes - but not always - has to extend the coordinate system with a negative range. For this purpose, this is expanded to the left and downwards with numbers that have a minus sign. Tip: If you have never heard of such numbers, please see negative numbers in the article.

The x-y coordinate system has now been expanded significantly. We get four areas, which are also known as quadrants. The point at which the two axes converge is called origin.

This x-y coordinate system has two axes (x and y). It is therefore also referred to as 2D coordinate system, because two dimensions (left-right and top-bottom) are shown. You can use it to describe where something is on a table - that is, a level. Hence this is also called plane coordinate system.

Display:

Examples of the x-y coordinate system with points

Where something lies in a coordinate system is described with points. This is exactly what we will now take a closer look at with a few examples.

example 1:

Draw the point P (3/2) in a coordinate system.

Solution:

In the case of a point, the x-value is given first, then the y-value. The point is therefore at x = 3 and y = 2. We go on the x-axis up to 3 and from there upwards until we reach the height of 2 on the y-axis. At this point you make a small point or a small cross.

Example 2:

Draw the point A (-4 / -2) in an x-y coordinate system.

Solution:

We go left on the x-axis until we reach -4. After that we go down by 2 until we reach y = -2. There we put a point to mark A.

Example 3:

Enter the coordinates of the points (crosses) for D, E and F.

Solution:

  • Point D.: Here you go to the right on the x-axis until you land at x = 2. From there up to y = 3. This means that point D is (2/3).
  • Points: Here you go left on the x-axis until you land at x = -3. From there up to y = 2. This means that point E is (-3/2).
  • Point F: Here you go to the right on the x-axis until you land at x = 4. From there down to y = -2. So the point F is (4 / -2).

Tasks / exercises coordinate system

Show:

Video coordinate system

Structure, quadrants and points

This video covers the following topics:

  • Structure of the Cartesian coordinate system
  • Quadrants and terms
  • Enter / draw in points
  • Coordinate system in 3D

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Questions and answers 2D coordinate system

This section deals with typical questions with answers about the coordinate system (x, y or in 2D).


Q: Are there any other coordinate systems?

A: Yes there is. The x-y coordinate system is the starting point in most cases. However, you do not have to designate these axes with x and y; other designations can also be used. Later in school, another axis is added, usually called z. This can be used to describe points in space. This is then a 3D coordinate system or often also called an x-y-z coordinate system.

Q: What other technical terms should you know?

A: You could remember this:

  • The x-axis is still referred to as the abscissa. Hence also the abscissa axis.
  • The y-axis is still referred to as the ordinate. Hence also the ordinate axis.
  • The point at which both axes intersect is called the origin.