The Cartesian plane

The Cartesian plane

Cartesian plane is used as a frame of reference for points in a line. It has two lines that intersects at the center of a page. This lines are such that they divide a grind page into 4 parts.

If you can remember the concept of number lines, the plane is made of two number lines. One number line is horizontal and the other one vertical. The zero points of the two number lines coincides at the center of the Cartesian plane. When drawing the plane, the zero points should meets at the center of the page.

The points where this two lines meet is usually referred as the origin. The horizontal line in the Cartesian plane is referred to as the x-axis. The line drawn vertically is usually referred to as the y-axis.

For each axis, a suitable scale is chosen and then marked at equal intervals. The measurements on the axes are called the coordinates.

The coordinates are given as an ordered pair (x,y) with x-coordinate first and y-coordinate second.

The two coordinates are separated by a comma and are placed inside brackets. The planes on which the points lies is called the Cartesian plan .

Example: How to place points on The Cartesian plane

Write down the coordinates of the points given below:

A, B, C, N, M, P, ,L and K.

  • A(3,5)
  • B(5, -3)
  • C(4, -6)
  • N(-7, 2)
  • M(4, 8)
  • P(8, 6)
solution

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