Coordinates of a Point in a Plane

How to determine the coordinates of a point in a plane?

\(\overrightarrow{XOX'}\) and \(\overrightarrow{YOY'}\) represent the co-ordinate axes. P be a point in the plane of the graph paper.

Draw \(\overline{PM}\) ┴ \(\overrightarrow{YOY'}\) and \(\overline{PN}\)\(\overrightarrow{XOX'}\).

Length of \(\overline{ON}\) is called the x- co-ordinate or abscissa of point P. Here \(\overline{ON}\) = 2 units.

Length of \(\overline{OM}\) is called the y-co-ordinate or ordinate of P. Here \(\overline{OM}\) = 4 units.

Coordinates of a Point in a Plane

Thus, the co-ordinates of point P are (2, 4) which is called an ordered pair.

So, the positions of the coordinates of a point in a plane cannot be interchanged as (4, 2).

Remember, if the distance of P from y-axis is ‘a’ and units the distance of P from the x-axis is ‘b’ units then the co-ordinates of point P are (a, b) where a denotes the x-co-ordinate or abscissa and b denotes the y-co-ordinate or ordinate.

Thus, we can define abscissa as distance of P from y-axis and ordinate as the distance of P from x-axis.


Point on x-axis: If we take any point on x-axis, then the distance of this point from x-axis is zero i.e., y-co-ordinate of every point on x-axis is zero.

Therefore, the co-ordinates of a point on x-axis are of the form (x, 0)

Point on y-axis: If we take any point on y-axis, then the distance of this point from y-axis is zero i.e., x-co-ordinate of every point on y-axis is zero.

Therefore, the co-ordinates of a point on y-axis are of the form (0, y).

Related Concepts:

Coordinate Graph

Ordered pair of a Coordinate System

Plot Ordered Pairs

Coordinates of a Point

All Four Quadrants

Signs of Coordinates

Find the Coordinates of a Point

Plot Points on Co-ordinate Graph

Graph of Linear Equation

Simultaneous Equations Graphically

Graphs of Simple Function

Graph of Perimeter vs. Length of the Side of a Square

Graph of Area vs. Side of a Square

Graph of Simple Interest vs. Number of Years

Graph of Distance vs. Time



7th Grade Math Problems

8th Grade Math Practice

From Coordinates of a Point in a Plane to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.