# What is a Cartesian Coordinate Plane?

## Common Core Standard 6.NS.8 6th Grade Math

A

**Cartesian**graph, also known as a**Cartesian coordinate plane**or system, can be used to describe the location of a point.A

**Cartesian coordinate**system is created by drawing a**horizontal**number line, called the x-axis, and a**vertical**number line called the y-axis. The origin is the point where the horizontal ( x) and vertical (y) axis intersect.Ordered pairs of numbers called coordinates are used to locate a point on the coordinate plane.

The

**horizontal distance**from the origin is the first number in an ordered pair, and the**vertical axis**is the second number. (x, y) For example, the ordered pair (2, 4) would mean the point is 2 units to the right of the origin, and 4 units above the origin.

As numbers increase on the

**x-axis**the point will move to the right, and on the**y-axis**, as numbers increase the location moves upward.The

**Cartesian**graphing system is also divided into four quadrants. The quadrants are created from the intersection of the x and y-axis. The upper right quadrant is labeled**quadrant I**and all points in this quadrant have positive x and y values.If you move in a clock wise manner the next quadrant is

**quadrant II**, and points in this quadrant have positive x values and negative y values.**Quadrant III**has all negative values, and q**uadrant IV**has negative x values and positive y values. The ordered pair (4,-2) would be found in**quadrant II**, four places to the right of the y-axis, and two places below the x-axis.This video covers the basics of the **Coordinate Plane**. It covers,

X-axis

Y-axis

Origin

Ordered Pairs

Quadrants

How to Graph

**Graphing Questions**

1. List the ordered pair of point 1.

2. In which quadrant is point 2 found?

3. List the ordered pair of point 3.

4. In which quadrant is point 4 found?

5. Name the axis point 5 is located on.

6. Which quadrant is point 6 found in?

7. Name the axis that number 7 is located on.

## Summary of the parts of the coordinate plane

- Horizontal axis is labeled with the letter x

- In a Cartesian coordinate system the vertical axis is labeled with the letter y

- Ordered pairs of numbers are used to describe points on the coordinate plane. (x,y)

- It is divided into four quadrants I,II,III,IV

- x-coordinate is named the absissa

- y-coordinate is named the ordinate

- The origin is the intersection of the x and y axis. (0,0)

A graph is a visual picture of data that helps you see relationships. In Math or Science you may need to graph data on a Cartesian graph that includes variables.

**You can use DRY MIX**in order to help how to set up the graph properly.

**DRY**stands for

D = Dependent variable

R = Responding Variable

Y = y axis

**MIX**stands for

M = Manipulated variable

I = Independent variable

X = x axis

The y axis runs up and down or vertical, and contains the dependent variable.

The x axis runs left and right, and contains the independent variable.