Math Doubts


The vertical distance of a point from origin in two dimensional space is called the ordinate. It is also called as the $y$-coordinate.


The ordinate is a geometric coordinate of a point, which is helpful to know how far the point is from origin in vertical direction in Bi-dimensional rectangular Cartesian coordinate system.

ordinate or y coordinate

It is measured from origin in vertical direction by comparing the number line on the $y$-axis. Hence, the ordinate is also called as the $y$-coordinate of the point.

The $x$-axis is considered as base line while measuring the ordinate or $y$-coordinate of a point because the $x$-axis is passed through the origin in two dimensional Cartesian coordinate system.

Here, $Q$ is a point on the plane and the vertical distance of the point is measured as $d$ units from origin by taking $x$-axis as base line and also comparing it with the number line on $y$-axis.

Therefore, the vertical distance $d$ is called the ordinate or $y$-coordinate of the point $Q$.


There are two basic steps to find the ordinate of any point in geometry.

  1. From any point, draw a perpendicular line to $y$-axis.
  2. The distance from origin to the intersecting point of the perpendicular line on $y$-axis is the ordinate or $y$-coordinate.


Let’s learn how to measure the ordinate or $y$-coordinate of any point from the following understandable example.

ordinate of two dimensional space

Let $P$, $Q$, $R$ and $S$ be four points in a two dimensional rectangular Cartesian coordinate system. Now, use the above two steps to determine the $y$-coordinate of every point.

  1. The ordinate of point $P$ is $3$.
  2. The $y$-coordinate of point $Q$ is $-4$
  3. The ordinate of point $R$ is $1$.
  4. The $y$-coordinate of point $S$ is $-2$

Do not forget that the number line on the $y$-axis is considered while measuring the $y$-coordinate. So, it is not required to look at the number line on the $x$-axis.

Thus, the ordinate or $y$-coordinate of every point can be determined geometrically.

Math Questions

The math problems with solutions to learn how to solve a problem.

Learn solutions

Math Worksheets

The math worksheets with answers for your practice with examples.

Practice now

Math Videos

The math videos tutorials with visual graphics to learn every concept.

Watch now

Subscribe us

Get the latest math updates from the Math Doubts by subscribing us.

Learn more

Math Doubts

A free math education service for students to learn every math concept easily, for teachers to teach mathematics understandably and for mathematicians to share their maths researching projects.

Copyright © 2012 - 2023 Math Doubts, All Rights Reserved