How to determine the coordinates of a point in a plane?
\(\overrightarrow{XOX'}\) and \(\overrightarrow{YOY'}\) represent the coordinate 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 coordinate or abscissa of point P. Here \(\overline{ON}\) = 2 units.
Length of \(\overline{OM}\) is called the ycoordinate or ordinate of P. Here \(\overline{OM}\) = 4 units.
Thus, the coordinates 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 yaxis is ‘a’ and units the distance of P from the xaxis is ‘b’ units then the coordinates of point P are (a, b) where a denotes the xcoordinate or abscissa and b denotes the ycoordinate or ordinate.
Thus, we can define abscissa as distance of P from yaxis and ordinate as the distance of P from xaxis.
Point on xaxis: If we take any point on xaxis, then the distance of this point from xaxis is zero i.e., ycoordinate of every point on xaxis is zero.
Therefore, the coordinates of a point on xaxis are of the form (x, 0)
Point on yaxis: If we take any point on yaxis, then the distance of this point from yaxis is zero i.e., xcoordinate of every point on yaxis is zero.
Therefore, the coordinates of a point on yaxis are of the form (0, y).
`Related Concepts:
● Ordered pair of a Coordinate System
● Find the Coordinates of a Point
● Plot Points on Coordinate Graph
● Simultaneous Equations Graphically
● 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
7th Grade Math Problems
8th Grade Math Practice
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