Up

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:
3692 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:
3077 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:
3132 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:

 
 
 

Facebook PageYouTube Channel

Algebra and Pre-Algebra

Beginning Algebra
Adding and subtracting integer numbers
Dividing integer numbers
Multiplying integer numbers
Sets of numbers
Order of operations
The Distributive Property
Verbal expressions
Beginning Trigonometry
Finding angles
Finding missing sides of triangles
Finding sine, cosine, tangent
Equations
Absolute value equations
Distance, rate, time word problems
Mixture word problems
Work word problems
One step equations
Multi step equations
Exponents
Graphing exponential functions
Operations and scientific notation
Properties of exponents
Writing scientific notation
Factoring
By grouping
Common factor only
Special cases
Linear Equations and Inequalities
Plotting points
Slope
Graphing absolute value equations
Percents
Percent of change
Markup, discount, and tax
Polynomials
Adding and subtracting
Dividing
Multiplying
Naming
Quadratic Functions
Completing the square by finding the constant
Graphing
Solving equations by completing the square
Solving equations by factoring
Solving equations by taking square roots
Solving equations with The Quadratic Formula
Understanding the discriminant
Inequalities
Absolute value inequalities
Graphing Single Variable Inequalities
Radical Expressions
Adding and subtracting
Dividing
Equations
Multiplying
Simplifying single radicals
The Distance Formula
The Midpoint Formula
Rational Expressions
Adding and subtracting
Equations
Multiplying and dividing
Simplifying and excluded values
Systems of Equations and Inequalities
Graphing systems of inequalities
Solving by elimination
Solving by graphing
Solving by substitution
Word problems