Theory:

Cartesian system:
  • It is a co-ordinate number system used to describe the position of a point by means of two perpendicular lines (horizontal and vertical lines).
  • The line \(X'OX\) is the horizontal line called as the \(x\) - axis.
  • The line \(Y'OY\) is the vertical line called as the \(y\) - axis.
Coordinate axes:
The plural form of axis is called the axes. Joining both the lines (horizontal and vertical lines) together at origin is called as the cartesian plane or the coordinate plane.
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Signs in the graphs:
  • In \(x\) - axis, the point is positive along the direction \(OX\) and negative along the direction \(OX'\).
  • In \(y\) - axis, the point is positive along the direction \(OY\) and negative along the direction \(OY'\).