GRAPHING ORDERED PAIRS

Graphing an ordered pair (a, b) is nothing but plotting the first value 'a' on the x (horizontal) axis and the second value 'b' on the y (vertical) axis of the coordinate plane.

The following steps will be useful to graph an ordered pair. 

Let us consider the ordered pair (a, b). 

Here, the first value 'a' is corresponding to 'x' axis and 'b' is corresponding to 'y' axis. 

Case 1 --> ('a' is positive, 'b' is positive) :

Step (i) :

Start from the origin and move "a" units to the right. 

Step (ii) : 

From the position at the end of step (i), move "b" units to the up. 

Case 2 --> ('a' is positive, 'b' is negative) :

Step (i) :

Start from the origin and move "a" units to the right. 

Step (ii) : 

From the position at the end of step (i), move "b" units to the down. 

Case 3 --> ('a' is negative, 'b' is positive) :

Step (i) :

Start from the origin and move "a" units to the left. 

Step (ii) : 

From the position at the end of step (i), move "b" units to the up. 

Case 4 --> ('a' is negative, 'b' is negative) :

Step (i) :

Start from the origin and move "a" units to the left. 

Step (ii) : 

From the position at the end of step (i), move "b" units to the down. 

Solved Examples

Example 1 : 

Graph the ordered pair (2, 3).

Solution : 

The first value of the ordered pair is always corresponding to x axis and the second to y axis. 

Since, the first value 2 is positive, we have to start from the origin and move 2 units to the right.

Since, the second value 3 is positive, now move 3 units to the up.

Then, we have

Example 2 : 

Graph the ordered pair (1, -2).

Solution : 

The first value of the ordered pair is always corresponding to x axis and the second to y axis. 

Since, the first value 1 is positive, we have to start from the origin and move 1 unit to the right.

Since, the second value -2 is negative, now move 2 units to the down.

Then, we have

Example 3 : 

Graph the ordered pair (-4, 3).

Solution : 

The first value of the ordered pair is always corresponding to x axis and the second to y axis. 

Since, the first value -4 is negative, we have to start from the origin and move 4 units to the left.

Since, the second value 3 is positive, now move 3 units to the up.

Then, we have

Example 4 : 

Graph the ordered pair (-3, -4).

Solution : 

The first value of the ordered pair is always corresponding to x axis and the second to y axis. 

Since, the first value -3 is negative, we have to start from the origin and move 3 units to the left.

Since, the second value -4 is negative, now move 4 units to the down.

Then, we have

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