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Describing positions in the four quadrants

Tutor: Labib

# Describing positions in the four quadrants

## ​​In a nutshell

A coordinate grid has four separate sections called quadrants. When plotting points or carrying out transformations, you may need to use one or more of the four quadrants.

The $1st, 2nd, 3rd,$ and $4th$ quadrants are visualised below. The $2nd, 3rd$ and $4th$ quadrants all involve negative numbers, either on the $x$-axis, the $y$-axis, or both.

## ​​Plotting points

For any coordinate on a graph, the first value given is the $x$-coordinate and the second value is the $y$-coordinate. To plot a point, firstly find the $x$-coordinate on the $x$-axis, then either go up or down to the level of the $y$-coordinate on the $y$- axis.

Note: If the $y$​-coordinate is positive, move up and if the $y$​-coordinate is negative, move down instead.

##### Example

Plot the points $A(6,7);B(-2,4);C(-3,-3);D(2,-5)$ on the grid below.

Point A: Find $\underline{6}$ on the $x$-axis, then move up $\underline{7}$ spaces.

Point B: Find $\underline{-2}$ on the $x$-axis, then move up $\underline{4}$ spaces.

Point C: Find $\underline{-3}$ on the $x$-axis, then move down $\underline{3}$ spaces.

Point D: Find $\underline{2}$ on the $x$-axis, then move down $\underline{5}$ spaces.

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Note: "Along the corridor and up the stairs" is a reminder of the order in which to plot coordinates.

## FAQs - Frequently Asked Questions

### What are the four sections of a graph called?

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