Coordinate Plane
 
A two-dimensional surface on which points are plotted and located by their x and y coordinates
Try this Drag the point A. As you drag note the two numbers that define it's position on the plane. Drag the origin to reposition the axes.

The coordinate plane is a two-dimensional surface on which we can plot points, lines and curves. It has two scales, called the x-axis and y-axis, at right angles to each other. The plural of axis is 'axes' (pronounced "AXE-ease").

X axis

The horizontal scale is called the x-axis and is usually drawn with the zero point in the middle. As you go to the right on the scale the values get larger and are positive. As you go to the left, they get larger but are negative.

Y axis

The vertical scale is called the y-axis and is also usually drawn with the zero point in the middle. As you go up from zero the numbers are increasing in a positive direction. As you go down from zero they increase but are negative.

Origin

The point where the two axes cross (at zero on both scales) is called the origin. In the figure above you can drag the origin point to reposition it to a more suitable location at any time.

Quadrants

Quadrants of the coordinate plane When the origin is in the center of the plane, they divide it into four areas called quadrants. The first quadrant, by convention, is the top right, and then they go around counter-clockwise. In the diagram above they are labelled Quadrant 1,2 etc. It is conventional to label them with numerals but we talk about them as "first, second, third, and fourth quadrant".

In the diagram above, you can drag the origin all the way into any corner and display just one quadrant at a time if you wish.

Things to try

In the figure at the top of the page, first press 'reset'.

  • Drag the origin point around, including dragging it all the way into a corner to show only one quadrant.
  • Drag the point A into each quadrant. The first number after the A is the x-coordinate and the second the y-coordinate. Note how the signs of each change in each quadrant. For more on this see Coordinates of a Point

Other Coordinate Geometry entries