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# Drawing a Point from Cartesian Coordinates

(KS2, Year 6)

## The Lesson

A point can be drawn on a graph. The Cartesian coordinates of the point tell us where to draw the point on the graph. Imagine you wanted to draw a point with Cartesian coordinates**(2, 4)**.

## How to Draw a Point from Cartesian Coordinates

Drawing a point from Cartesian coordinates is easy. Cartesian coordinates have 2 numbers.-
The number on the left (2) is called the x-coordinate. It tells you how far
**across**the point is (in the horizontal direction) by measuring how far along the x-axis it is. -
The number on the right (4) is called the y-coordinate. It tells you how far
**up**the point is (in the vertical direction) by measuring how far up the y-axis it is.

## Question

Draw the point with Cartesian coordinates**(2, 4)**on a graph.

## Step-by-Step:

# 1

Start with a graph.

**Don't forget:**A graph has a pair of axes: the horizontal axis is called the x-axis and the vertical axis is called the y-axis. They meet at the origin.# 2

Find the first number in the Cartesian coordinates (called the x-coordinate). In our example, the x-coordinate is

**2**.
(

**2**, 4)# 3

Starting from the origin, count along the x-axis until you find the x-coordinate found in

**Step 2**(2).# 4

Find the second number in the Cartesian coordinates (called the y-coordinate). In our example, the y-coordinate is

**4**.
(2,

**4**)# 5

Count up the y-axis until you find the y-coordinate found in

**Step 4**(4).# 6

Draw the point here.

## Answer:

## Beware

## Positive and Negative Coordinates

The pair of numbers in Cartesian coordinates the can be positive and negative.- The x-axis is labelled with positive numbers to the right of the y-axis and negative numbers to the left.
- The y-axis is labelled with positive numbers above the y-axis and negative numbers below.

- positive, it describes a point to the right of the y-axis.
- negative, it describes a point to the left of the y-axis.

- positive, it describes a point above the x-axis.
- negative, it describes a point below the x-axis.

Look at the sign of each coordinate to decide which quadrant it belongs in.

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