Finding the Quadrant of a Point with a Positive Ordinate

What is an Ordinate?

An ordinate is a coordinate in a two-dimensional plane. The term is usually used to refer to the vertical coordinate of a point, which is also known as the y-coordinate. When the ordinate of a point is positive, it is located above the x-axis and in one of the four quadrants.

Quadrants of a Plane

A plane is divided into four quadrants. The x-axis and y-axis intersect at the origin, which is the point (0, 0). When the x-coordinate of a point is positive, the point is located to the right of the y-axis. When the y-coordinate is positive, the point is located above the x-axis.

Quadrant I

Quadrant I is located in the top-right corner of a plane and is defined by the coordinates (x, y), where both x and y are positive. This means that the points located in this quadrant have both a positive x-coordinate and a positive y-coordinate.

Quadrant II

Quadrant II is located in the top-left corner of a plane and is defined by the coordinates (x, y), where x is negative and y is positive. This means that the points located in this quadrant have a negative x-coordinate and a positive y-coordinate.

Quadrant III

Quadrant III is located in the bottom-left corner of a plane and is defined by the coordinates (x, y), where both x and y are negative. This means that the points located in this quadrant have both a negative x-coordinate and a negative y-coordinate.

Quadrant IV

Quadrant IV is located in the bottom-right corner of a plane and is defined by the coordinates (x, y), where x is positive and y is negative. This means that the points located in this quadrant have a positive x-coordinate and a negative y-coordinate.

Conclusion

When the ordinate of a point is positive, the point is located in either Quadrant I or Quadrant II. If the x-coordinate is also positive, the point is located in Quadrant I. If the x-coordinate is negative, the point is located in Quadrant II.