Plot Ordered Pairs | How to Plot an Ordered Pair on a Coordinate Plane?

# Plot Ordered Pairs | How to Plot an Ordered Pair on a Coordinate Plane?

Ordered pairs are used to locate a point on a cartesian plane. It has parenthesis, a comma, and two real numbers. The first real number is called the x coordinate or abscissa, and the second one is known as the y coordinate or ordinate. Those numbers can be either positive or negative. Depending on the sign of the coordinates, you can say that point belongs to which quadrant.

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On this page, we are providing useful information like how do you define an ordered pair, steps of plotting ordered pairs on a coordinate plane, the detailed procedure to identify the quadrant of ordered pairs.

## Ordered Pair Definition

The ordered pair is nothing but a point in the two-dimensional coordinate plane. It is used to locate a point on the graph. Every ordered pair has two coordinates namely abscissa and ordinate.

### How do you plot an ordered pair of points on a Cartesian plane?

The following are simple and easy steps to locate a point in a cartesian plane. Check out the guidelines, terms, and conditions to plot ordered pairs.

• Let us take one ordered pair.
• Get the sign of x coordinate, y coordinate of the ordered pair.
• Based on those signs, identify which quadrant the ordered pair belongs to.
• Count x coordinate value on the x-axis starting from the origin.
• Similarly, count the y coordinate value on the y-axis from the origin.
• Mark the obtained point as the ordered pair.

### Solved Example Questions

Example 1.

Plot P (4, 1) on the graph?

Solution:

Given point P (4, 1)

The x coordinate of the point is positive, 4. While the y coordinate is also positive, 1.

So, both the coordinates are positive, the point P belongs to the first quadrant.

To locate this point P, measure 4 units on the x-axis from the origin (towards the right). And count 1 unit on the y-axis from the origin (towards up). Draw a line from 4 and 1, the point those lines meet is called the ordered pair P(4, 1).

Example 2.

Plot the following ordered pairs in one coordinate plane.

a. A (5, 0) b. B (-2, -6) c. C (6, -3) d. D (7, -1)

Solution:

Given ordered pairs are A (5, 0), B (-2, -6), C (6, -3), D (-7, 1)

The abscissa for A is 5, the ordinate is 0, both are positive. Therefore this ordered pair lies in the first quadrant. Take 5 units on the x-axis (towards the right) and 0 units on the y-axis and mark the point with strict or any other symbol.

The x coordinate is -2, the y coordinate is -6, both are negative. So, point B lies in the third quadrant. Measure 2 units from the origin on the x-axis (towards left), 6 units on the y-axis (downwards). Mark that particular point as B (-2, -6).

For the ordered pair C (6, -3), the x coordinate is positive and the y coordinate is negative. Then, the point lies in the fourth quadrant. To represent the ordered pair on the coordinate graph, you need to draw horizontal lines naming XOX’, YOY”. Count 6 units on the x-axis towards the right from the origin and count 3 units on the y-axis towards from the origin. Plot that point on the graph as C.

The abscissa for point D is -7 and negative and ordinate is positive and 1. You can say that the point lies in the second quadrant. At first, draw one horizontal line (x-axis), vertical line (y-axis) meet at origin O. Write down the numbers as a coordinate graph. Now, measure 7 units on the axis towards the left from the origin, 1 unit on the y-axis towards up.

Example 3.

Plot the below given three points on the graph?

a. P (5, 4) b. Q (0, 3) c. R (-2, 0)

Solution:

Given ordered pairs are P (5, 4), Q (0, 3), R (-2, 0)

First point P (5, 4) is 5 units away from the origin on the x-axis, 4 units on the y-axis. As coordinates of the point are positive, it lies in the first quadrant.

As the second point has the x coordinate is zero, the point available on the y-axis and 3 units away from the origin. It also lies in quadrant 1.

In the same way, the third point also contains the y coordinate is zero, it is present on the x-axis. And its x coordinate is negative, so it lies in the third quadrant.

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