# Defining a Coordinate System – Graphing Points

## Overview

Graphing points on a coordinate plane can help you analyze relationships between different sets of data. Consider the example below.

*Graph the points on the coordinate plane using the chart below. What is the distance between the two points?*

Point | Ordered Pair |

A | (2, 3) |

B | (2, 6) |

### Step 1: Graph Point A

According to the chart, Point A has an ordered pair of (2, 3).

The ordered pair tells us to travel 2 points across the **x**-axis and 3 points up the **y**-axis.

### Step 2: Graph Point B

According to the chart, Point B has an ordered pair of (2, 6).

The ordered pair tells us to travel 2 points across the **x**-axis and 6 points up the** y**-axis.

### Step 3: Analyze

We can determine the distance between the two points by counting the number of units that fall in between them.

The distance between the two points is 3 units.

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Use the coordinate plane to answer this question.

The four corners of a square are located at the points (3, 5), (3,8) (6,8) and (6,5).

Draw a plot of the points on a piece of paper to illustrate the square.

The four corners of a square are located at the points (3, 5), (3,8) (6,8) and (6,5).

How long is each side of the square?

3 units

Use the coordinate plane to answer this question.

John maps his friends’ houses on a coordinate plane. The numbers on the axis represent miles.

How far does John live from Simon?

- 3 miles
- 5 miles
- 8 miles

5 miles

Count the number of units that fall in between the two points.

Use the coordinate plane to answer this question.

John maps his friends’ houses on a coordinate plane. The numbers on the axis represent miles.

Which friend lives closest to Simon?

- John
- Emanuel
- Joe

Emanuel

Count the number of units that fall in between the points. Emanual lives 2 units (or miles) from Simon.

Use the coordinate plane to answer this question.

Heather’s family is fishing. Each ordered pair shows the time of day and the number

of fish caught.

Draw a plot of the points on the coordinate plane on a piece of paper.

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