How to determine where is found a point in the cartezian plane ?

Expert Answers
justaguide eNotes educator| Certified Educator

A Cartesian plane can be divided into 4 parts known as quadrants based on the value of the x and y co-ordinates. Starting from the top right quadrant which is the first quadrant in a clockwise manner:

  • In the first quadrant the x and y co-ordinates are positive.
  • In the second quadrant the x co-ordinate is positive and the y co-ordinate is negative.
  • In the third quadrant both the x and y co-ordinates are negative
  • In the fourth quadrant the y co-ordinate is positive and the x-coordinate is negative.

In case any of the co-ordinates is 0, the point lies on the axes.

The position of the point in the Cartesian plane can be determined using the sign and value of the x and y co-ordinates.

giorgiana1976 | Student

To locate any point in Cartesian system of coordinates we have to know the pairs of coordinates (x,y).

The Cartesian plane is divided in 4 quadrants by the x and y axis.

The point may be found in one of the 4 quadrants of the Cartesian plane.

To determine the exact location of a point, we'll have to know the values of its coordinates.

If the point is located in the 1st quadrant, the values of x and y will be both positive.

If the point is located in the 2nd quadrant, the values of x will be negative and the values of y will be positive.

If the point is located in the 3rd quadrant, the values of x and y will be both negative.

If the point is located in the 4th quadrant, the values of x will be positive and the vallues of y will be negative.

The coordinates, which may be positive or negative, are found with respect to the quadrants of Cartesian plane.