How to determine coordinates of a point?

On a graph paper draw X'OX and YOY'. Here X'OX and YOY’ be the two coordinate axes.

Then mark a point on the
graph and name the point as P such that P is at the perpendicular distance of a
units from the y-axis and again similarly b units from the x-axis. Then, we
denote that the coordinates of P are **P(a, b)**

From the above discussion, a is
called the **abscissa** or **x-coordinate** of P and b is called the **ordinate**** **or** ****y-coordinate** of P.

Examples to get coordinates of a point:

**1.** In the adjoining figure, to find the co-ordinate of point P the distance of P from y-axis is 2 units and the distance of P from x axis is 3 units.

Therefore the co-ordinates of point P are (2, 3).

**2.** In the adjoining figure, to find the co-ordinate of point P the distance
of P from y-axis is 5 units and the distance of P from x axis is 5 units.

Therefore the co-ordinates of point P are (5, 5).

**3.** In the adjoining figure, to find the co-ordinate of point P the distance
of P from y-axis is 7 units and the distance of P from x axis is 4 units.

Therefore the co-ordinates of point P are (7, 4).

**4.** In the adjoining figure, to find the co-ordinate of point P the distance
of P from y-axis is 0 units and the distance of P from x axis is 0 units.

Therefore the co-ordinates of point P are (0, 0).

**5.** In the adjoining figure, to find the co-ordinate of point P the distance
of P from y-axis is 0 units and the distance of P from x axis is 3 units.

Therefore the co-ordinates of point P are (0, 3).

**6.** In the adjoining figure, to find the co-ordinate of point P the distance
of P from y-axis is 6 units and the distance of P from x axis is 0 units.

Therefore the co-ordinates of point P are (6, 0).

**Related Concepts:**

**● Ordered pair of a Coordinate System**

**● Find the Co-ordinates of a Point**

**● Coordinates of a Point in a Plane**

**● Plot Points on Co-ordinate 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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