This is an interactive learning module that will help you with the task of mastering the basics of graphing. In this module you will learn how to
Describe a point on a Cartesian plane.
Identify the format of the slope-intercept form.
Next 2 Coordinate Axis
A line is a series of points that can be described in 2 dimensions. Each point can be located on a grid called a Cartesian plane.
The x-axis is in the horizontal direction.
The y-axis is in the vertical direction.
Next 3 Coordinate Axis Next 4 What was that again
Which axis is the red line
X-axis Y-axis 5 YOU GOT IT! You correctly identified the y-axis. Next up ordered pairs. 6 Not Quite!!! You did identify an axis but the x-axis is horizontal. The y-axis is the one in red and it runs vertically. 7 Ordered Pairs
Each point of a line is described by its location on the horizontal and vertical axis. This is called an ordered pair.
Ordered pairs are always written in the following format
(x-axis location y-axis location)
8 Example of an Ordered Pair
The ordered pair of (23) is shown on the graph here.
9 Name that point
What is the correct ordered pair for this point
(24) (-42) (2-4) 10 Zip-pid-dee-doo-daa!!! Nice thinking there slim. Lets keep this moving along. 11 How bout ya try that one again... Back to the question 12 Another review
How are ordered pairs always written
(x value z value y value) (y value x value) I dont remember take me back to show me how (x value y value) 13 Another question correct! Ordered pairs is a good start lets see where they live. 14 Umm you should rethink that answer Back to the question 15 Perhaps Not Ordered pairs are always written in parenthesis with the x value first and the y value second. 16 Quadrants
Points on a Cartesian plane can have both positive and negative x values as well as both positive and negative y values.
This means that the 4 combinations of coordinates can be placed in one of four places on a Cartesian plane.
Each of these 4 places is called a quadrant.
17 Quadrants 18 Where am I
If I were standing on a spot that was described by (-4 2) what quadrant would I be located in
Quadrant I Quadrant II Quadrant IV 19 Quality in Quadrants!!! 20 Surely You Want to Try Again! Back to the question 21 Quiz on Ordered Pairs
Time to give that brain of yours a quick quiz on what we have looked at covering ordered pairs. You have to get the three questions correct before you can move on. Lets see what you know.
22 Question Numero Uno
How do you describe a point
An ordered pair that has both x and y values Drawing it on a map Really carefully Write it down in the form of (y value x value) 23 Ja dat was gouda! 24 No Time to Get Mad! Back to the question 25 No Way Dude!!! Back to the question 26 Question 2
Which point is located in Quadrant 4
Point A Point B Point C Point D 27 Thats two questions correct! 28 A Second Chance Back to the question 29 Dr. Evil Needs Your Help! Back to the question 30 Bob Calls Em Like He Sees Em Back to the question 31 Query 3
What point be me I am standing in Quadrant 3
Point A Point B Point C Point D Point E 32 WAY TO GO!!! Youve answered all the questions correctly! 33 Lets Try That One Again Back to the question 34 Slope Intercept Format
Lines are described in Algebra in many ways. One of the ways that a line can be described is in slope intercept form.
Slope intercept form puts the equation of a line into a format that stresses 2 keys parts
The slope of the line
Where the line intersects the y-axis
All lines are not the same and are describe in different ways. The major way in which lines are different is the slope of the line.
The slope of a line is basically how steep the line is. The higher the number the steeper it is.
The common way to describe the slope of a line is to look at it as
or how much you move up and down over how much you move left or right. 37 What about this one
Can you identify the slope of this line
Yup its 4 Easy enough its 1/2 No problem its 2/1 38 Woody Approves! 39 Maybe Try A Different Idea Back to the question 40 Id like to place an order
I would like one ordered pair please. And no I do not want to supersize my ordered pair.
If I were to ask for one of these what would I be asking for
A list of x and y values that makes up all the points of a line. A description of a point that has its x value first and then its y value. Not quite sure would you be nice enough to show me that info again Two numbers in parenthesis that are added together. 41 Nice memory Good to see that you are not forgetting what we just covered. 42 You Need A Plan For Learning This!! Back to Ordered Pairs for you!!! 43 Cartesian Plane Review
What is the correct way to describe this point
(12) X value is 1 Y value is 2 (21) 44 You dont Nemo practice! 45 Need Some Review Looks like you should take a moment and look over Cartesian Plane information again Back to the Cartesian Plane Review 46 Intercepting
Where a line crosses the y-axis on a Cartesian plane is known as the y-intercept.
In this example the point (02) is the y-intercept.
47 Name that intercept
Using the graph shown what is the y-intercept of the line
Why dont you ask hard questions I know the intercept is 2. Cmon Mr.C the answer is easy to see as the y-intercept is -3. I dont care what the other answers do I say its -2. 48 Your Answer Is Nothing to Laugh At! 49 That Wasnt The Correct Answer The y-intercept of a line is where the line crosses the vertical y-axis. In this case the y-intercept was -2. 50 Slope
Using the same line as you just saw what is the slope of the line
Slope is easy to do its as easy as -3 over 2. I found it to be 2 over -3. I need some review can you show me what to do 51 Running to Success! 52 Sliding With Slope Remember that slope is determined by the rise over the run. Count the number of squares the line goes up/down and then divide that by how much the line goes left/right. 53 Slope Intercept Form
To combine the concepts of slope and y-intercept together we can describe the line in the slope intercept format.
The slope intercept form of a line makes it easy to identify the parts that are the most frequently used to describe the line.
54 Slope Intercept Form
The slope intercept of a line is written as
Where m is the slope of the line and b is the y-intercept.
55 What you say
Slope is the steepness of the line.
Y-intercept is where the line crosses the y-axis.
Slope Intercept form is
56 Put that brain to work
Time to stretch the noggin and think. I know that its not fair for me to ask that of you but you have to come expect that from me get over it.
If the slope of a line has a negative rise and a positive run what type of number will the slope be
Negative Positive 57 Didnt You Mean To Say Negative Remember when a positive and negative number are multiplied or divided that the result is a negative number. Two positive numbers or two negative numbers will produce a positive answer when they are multiplied or divided. 58 Way to extrapolate!!!
The slope of a line can be either positive or negative.
A positive slope can have either both positive rise and run or both negative rise and run (two negatives make a positive).
A negative slope will have either a negative rise or a negative run but not both.
59 Visualize that please
Hey Mr.C I dont understand what this positive and negative slope stuff is. Can you show me
Sure how bout those graphs can ya see what I mean now
Positive slope Negative slope 60 A walk home from school
If you are at the top of this hill and your house is at the bottom what is the slope of the path you have to take to get home
Positive Negative I cant remember can you show me again 61 But Do You Want To Go Home Especially if these were your sisters!! 62 Maybe You Should Rethink That 63 Slope Intercept Quiz
Which one of the following graphs shows the line described by
(Click on correct graph) 64 Austin Toasts to You!!! 65 Go Back and Try Again 66 CONGRATS!!! You have made it through the module on the basics of graphing. Now go out there and do something with it like graph how much you have grown over the course of this year. Be sure to put it in the proper slope-intercept format. Certificate Of Achievement End Module
PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.
You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!
For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!