### Key Concepts

- Graph data using ordered pairs

## How to graph a point on a coordinate grid?

The following steps explain how to locate a point on the coordinate grid:

**Step 1:** Mark the point.

**Step 2:** Place the point in the quadrant by identifying the signs of the X and Y coordinates.

**Step 3:** Find the X–coordinate of the given point from the origin.

**Step 4:** Find the Y–coordinate of the given point from the origin.

### Graph data using ordered pairs

**Example 1: **Use the below table to graph the ordered pairs on the grid.

**Solution:**

From the given tabular data, the ordered pairs are:

(1, 4), (3, 8), (5, 10), (7, 11), and (9, 14).

Number of days can be represented on the X–axis.

Height can be represented on the Y–axis.

**Step 1:**

First, graph the first ordered pair (1, 4).

Start at origin, then move 1 unit to the right along X–axis. Move 4 units up from X–axis towards Y–axis as shown in the grid.

**Step 2:**

Plot the remaining ordered pairs from the table and connect them using a ruler as shown.

**Example 2: **Graph the point (4, 9) on the below grid.

**Solution:**

From the given ordered pair,

First plot point 4 along X–axis towards upward direction on the grid and mark at the intersecting point 9 of Y–axis in the grid as shown in the below figure with the green point.

**Example 3:** Graph and label the given points on the grid.

A (6, 2), B (1, 4), C (3, 4), D (5, 2), and E (6, 6).

**Solution:**

## Exercise

- Plot the following ordered pairs on the grid.

(6, 9), (4, 7), (8, 7), (6, 5), (4, 3), and (2, 4).

- Wade plotted a point on the grid, located 3 units right from the origin and moved 5 units up as shown.

- Find the exact point located by Wade on the grid.

- Identify and name the ordered pairs in the below grid.

- Point H is located 4 units towards the right and 2 units up from the origin. Graph the point on the grid.
- List the points and ordered pairs shown in the below grid in the form of a table.

- Graph and label the given points on the grid.

J (2, 6), K (6, 2), L (4, 5), M (0, 8), and N (3, 9).

- Graph the below points on the grip.

A (2, 4), B (1, 2), C (2, 0), and D (3,0).

- Shane buys 3 packets of crayons. Each packet of crayons costs $4.75. He also buys 2 pairs of needles. Each pair costs $5.75. He pays for his purchase with two 30–dollar bills. What is his change?
- Graph the point (3, 4) on the grid.
- Identify the ordered pairs from the below grid.

### What have we learned

- Understand how to locate points on the grid.
- Plot ordered pairs on the coordinate plane.
- Identify and name the plotting points.
- Graph the points on the grid.

### Summary

#### Coordinate plane

A coordinate plane is a two-dimensional surface formed by two numbers intersecting each other at a point zero called the origin.

#### Coordinate grid

A coordinate grid is a set of grid lines used to graph and name the locations of points in a plane. A grid has a horizontal line called X–axis, and a vertical line called Y–axis intersect at the origin.

#### Ordered pair

An ordered pair is the pair of elements that exist in a particular order. It is a combination of X–coordinate and Y–coordinate, having two values written in a fixed order within parentheses.

#### Origin

The point at which the X–axis and Y–axis intersect is called the origin.