How do you plot points on coordinate graph?
We draw coordinate axes X'OX, extended ‘sideby side’ and Y'OY, extended ‘above and below’ and take xaxis and yaxis respectively. Then we have to decide how any sides of the small square may be taken as one unit such that one centimeter represents one unit on both the axes. According to that unit and sign of abscissa and ordinate, the location of the point is found.
Example to plot points on a coordinate graph paper:
1. Plot point P(2, 4) on the graph.
Solution:
On the graph paper X'OX and Y'OY are indicated as xaxis and yaxis respectively. Length of one sides of the square (i.e. 1 div) is taken as unit.
In point P(2, 4) we observe that both the coordinates are positive so they will lie in the first quadrant.
Count 2 units along xaxis to the right of origin. Draw a line BA ┴ XOX'.
Now, count 4 units along yaxis upward. Draw line CD ┴ YOY'.
Both these lines intersect at point P.
Therefore, the coordinates of point P are (2, 4).
2. Plot point M(5, 3) on the graph.
Solution:
On the graph paper X'OX and Y'OY are indicated as xaxis and yaxis respectively. Length of one sides of the square (i.e. 1 div) is taken as unit.
In point M(5, 3) we observe that both the coordinates i.e. abscissa (5) and ordinate (3) are negative so they will lie in the third quadrant.
Count 5 units along xaxis to the left of origin. Draw a line QP ┴ X'OX.
Now, count 3 units along yaxis downward. Draw line RS ┴ Y'OY.
Both these lines intersect at point M.
Therefore, the coordinates of point M are (5, 3).
Note:
Any point on xaxis: The coordinates of any point on the xaxis are of the form (x, 0).
Therefore the y coordinate of every point on x axis is zero.
For example: (2, 0), (7, 0), (5, 0), (2, 0), (7, 0), (2, 0) are the points which lie on x –axis.
Any point on yaxis: The coordinates of any point on the yaxis are of the form (0, y).
Therefore the x coordinate of every point on y axis is zero.
For example: (0, 1), (0, 4), (0, 6), (0, 1), (0, 4), (0, 6) are the points which lie on yaxis.
Related Concepts:
● Ordered pair of a Coordinate System
● Find the Coordinates of a Point
● Coordinates of a Point in a Plane
● 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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