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Points on the coordinate plane

A point on the coordinate plane has coordinates \(\left( {x,y} \right)\), where \(x\) represents the number of units on the horizontal axis, and \(y\) represents the number of units on the vertical axis.  To plot a point \(\left( {x,y} \right)\) on the coordinate plane, first travel \(x\) units left or right (depending on whether \(x\)  is negative or positive) along the horizontal axis, then travel \(y\) units up or down (depending on whether \(y\) is positive or negative).  Where you arrive is where you plot the point.

EXAMPLE:  Where is the point \(\left( { - 3, - 9} \right)\)?

Plotting-Points-on-the-Coordinate-Plane-1

SOLUTION:  To find the point \(\left( { - 3, - 9} \right)\), we first travel 3 units to the left along the horizontal axis, and then we travel 9 units down.  This places us at the point \(S\).

EXAMPLE:  Where is the point \(\left( {2, - 7} \right)\)?

Plotting-Points-on-the-Coordinate-Plane-2

SOLUTION:  Travel right 2 units along the horizontal axis, then travel down 7 units, to the point \(M\).

Below you can download some free math worksheets and practice.


Downloads:
1547 x

State the quadrant or axis that each point lies in.

This free worksheet contains 10 assignments each with 24 questions with answers.

Example of one question:

Parallel-Lines-and-the-Coordinate-Plane-Points-on-the-coordinate-plane-Easy

Watch below how to solve this example:

 

Downloads:
1163 x

Plot each point.

This free worksheet contains 10 assignments each with 24 questions with answers.

Example of one question:

Parallel-Lines-and-the-Coordinate-Plane-Points-on-the-coordinate-plane-Medium

Watch below how to solve this example:

 

Downloads:
1086 x

State the coordinates of each point.

This free worksheet contains 10 assignments each with 24 questions with answers.

Example of one question:

Parallel-Lines-and-the-Coordinate-Plane-Points-on-the-coordinate-plane-Hard

Watch below how to solve this example:

 
 
 

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