2. Graphing Slope-Intercept Form Stand-Alone Instructional Resource CEP811 Deborah Johnson Let’s Get Started! Click Here! Let’s Get Started! Click Here!

3. Students will master the following 8 th grade Introduction to Algebra and Geometry Instructional Standards: Lesson Objectives Graph linear equations in slope intercept form y = mx + b (GPS) (8MA_E2009-58) Determine the meaning of the slope and y-intercept in a given situation (GPS) (8MA_E2009-57) Time to Learn! Time to Learn! Interpret slope as a rate of change (GPS) (8MA_E2009-56)

4. Definition of Slope-Intercept Form Definition of Slope-Intercept Form What do you need to know about slope-intercept form? First ! Click on the boxes below to explore each definition! Second ! Let’s Graph!

5. Definition of Slope “The constant change of a line is called the slope of the line.” – Holt Textbook Pg 311 You should know two things about slope: The “Types” of Slope The “Types” of Slope How to “Count” Slope How to “Count” Slope If you are not familiar with either topic, click on the box for a quick review. Definitions Home Page!

6. We “read” slope just like we would read a book: From LEFT to RIGHT. The direction your line moves indicates the type of slope.

7. Types of Slope There are Four Click on the green boxes to further explore each type! Slope Home Page!

8. It does not matter WHERE the line is located on the coordinate plane, but rather the direction. Often, we think of positive slope as a line going UP. We can see slope in real life ! Can you see the POSITIVE slope in the picture above? ( click on the picture to check your answer ) With POSITIVE slope, the line rises from left to right.

9. With NEGATIVE slope, the line falls from left to right. Often, we think of negative slope as a line going DOWN. Check out the picture to the left ! Can you find the NEGATIVE slope? ( click on the picture to check your answer )

10. Zero slope always looks like a HORIZONTAL line. An easy way to remember this is by visualizing a person walking on your line. The person has ZERO slope because they do not go up or down. Click on the graph to see this !

11. VERTICAL lines have undefined slope. Think of “ undefined ” slope as having no where else to go, but up…or down ! Where would our person go in this graph? ( click on the graph to see !)

12. Let’s Practice! Tell whether the slope of each line is positive, negative, zero, or undefined. Click on the graph to check your answer! Positive The graph rises from left to right. Negative The graph falls from left to right. Negative The graph falls from left to right. Undefined The graph is a vertical line. Zero The graph is a horizontal line. Positive The graph rises from left to right.

13. Slope! We graph slope using… change in y change in x Slope Home Page! Ready to Explore? Click the Video Link on the Next Slide !

14. “Counting” Slope Video Remem ber You need at least two points to graph slope “Read” slope from left to right Click on the Video Above to View Click HERE to view online.

15. Can You Find It? Using, find the slope of the line. A. - ⅓ B. -3 C. ⅓ D. 3 1. Should you have a positive or negative slope? Should you have a positive or negative slope? Remember, rise ↕ over run ↔. Correct ! Great Job!!! Click on your answer choice.

16. Can You Find It? Using, find the slope of the line. 2. A. 2 B. -2 C. ½ D. - ½ Should you have a positive or negative slope? Should you have a positive or negative slope? Remember, rise ↕ over run ↔. Correct ! Great Job!!! Click on your answer choice.

17. Need more practice? Ready to move on? Using algebra.help, look at each graph and enter the appropriate slope. Click on “Check Worksheet” at the bottom of the page to check your work! Practice Here! Back to Definitio ns !

18. “The y-intercept is the y-coordinate of the point where the graph intersects the y-axis. The x-coordinate of this point is always 0.” – Holt Textbook Pg 303 “The x-intercept is the x-coordinate of the point where the graph intersects the x-axis. The y-coordinate of this point is always 0.” – Holt Textbook Pg 303 Let ’ s See How to Remember This Vocabulary ! (0, y - intercept ) ( x - intercept, 0) Definitions Home Page!

19. http://espn.go.com/video/clip?id=5667192 Football! When you hear “ intercepts,” think : Think of your line like the “path” Denard Robinson wanted his football to be thrown. The y - intercept represents the point where the line crosses the y - axis. For our story, this is where Chris L. Rucker “ intercepts ” the ball. The x - intercept represents the point where the line crosses the x - axis. For our story, let ’ s suppose Michigan State “ intercepts ” the ball again at the x - axis. Click on the Player to Hear a Story about the Video!

20. Let’s Practice! Find the x- and y- intercepts. Where does the line cross the y-axis? Where does the line cross the x-axis? The x-intercept is: The y-intercept is: The x-intercept is: The y-intercept is: 5 -4 2 1 A.B.

21. Your Turn! Find the x- and y- intercepts. The x-intercept is: The y-intercept is: The x-intercept is: The y-intercept is: C.D. 4 Click on the question to view the answer. 2 4

22. Slope-Intercept Form y = mx + b “If a line has slope m and the y-intercept b, then the line is described by the equation y = mx + b.” – Holt Textbook Pg 335 slope y - intercept Definitions Home Page!

23. Slope-Intercept Form Can you recognize slope - intercept form? Let’s Play… Slope-Intercept Form Not! or

24. Slope-Intercept Form Not! Skip to Next Problem! Slope-Intercept Definition! Click on your answer !

25. Correct! What is the y-intercept? What is the slope? 4 -2 Click on the question to view the answer. Next Problem!

26. Try Again! y = mx + b slope y - intercept Remember… Go Back!

27. or Slope-Intercept Form Not! Skip to Next Problem! Slope-Intercept Definition! Go Back! Click on your answer !

28. Try Again! y = mx + b Notice ! “ y ” should be ISOLATED ( by itself ) on one side of the equation Remember… Go Back!

29. Correct! Is NOT in slope-intercept form! Check out how to re-write this equation in slope-intercept form! Check out how to re-write this equation in slope-intercept form!

30. + 2x y = 2x + 6 The slope is 2. The y-intercept is 6. Next Problem!

31. or Slope-Intercept Form Not! Slope-Intercept Definition! Go Back! Click on your answer !

32. Correct! What is the y-intercept? What is the slope? -3/4 0 Click on the question to view the answer. + 0 Definitions Home Page! Time to Learn GRAPHING!

33. Try Again! y = mx + b slope y - intercept Remember… Go Back! Hint: If there is NO y-intercept, would we have to write zero?

34. Graphing Slope-Intercept Form First ! Second ! Graphing Slope-Intercept Form Matching Equations to Graphs Back to Definitions Home Page!

35. y = mx + b slope y - intercept Remember… Slope-intercept form is: Click on the Video Above to View Graphing Slope-Intercept Form FIRST, always plot the y-intercept. SECOND, graph your slope. Click HERE to view online.

36. Let’s Practice! Graphing Slope-Intercept Form Using the following math applet, practice graphing slope-intercept form. Remember! FIRST plot the y-intercept, THEN plot the slope.

37. Matching Equations to Graphs Example 1 y = mx + b m = slope b = y - intercept FIRST find the y-intercept: b = y = __ x + ___ - 4 NOW count the slope : click here to continue m = 2 y = 2x - 4 2 1 On the graph, click on the correct y-intercept. ? - 4 2 watch the graph which means

38. Matching Equations to Graphs Example 2 y = mx + b m = slope b = y - intercept FIRST find the y-intercept: b = y = __ x + ___ 3 NOW count the slope : click here to continue m = -½ y = -½x+3 2 On the graph, click on the correct y-intercept. ? 3 -½ watch the graph which means

39. Let’s Practice! Identify the equation of the line written in slope-intercept form that matches the provided graph. A. B. C. D.

40. Try Again! Check Your Slope! Should your slope be Positive or Negative? Did you mix up ? Go Back!

41. Try Again! Check Your Intercept! y = mx + b Make sure you picked the “Y” intercept and not the “X” intercept! Go Back!

42. Correct! Next Problem!

43. Let’s Practice! Identify the equation of the line written in slope-intercept form that matches the provided graph. A. B. C. D.

44. Try Again! Check Your Slope! Should your slope be Positive or Negative? Did you mix up ? Go Back!

45. Try Again! Go Back! Check Your Intercept! y = mx + b y-intercept

46. Correct! Next Problem!

47. Final Challenge! Write the equation of the line for each provided graph. To check you answer, click on the graph! Need a Hint? Click HERE to view the equations that need to be matched to the graphs!

48. You Did It! You have successfully completed the “Graphing Slope-Intercept Form Stand-Alone Instructional Resource!” G r e a t J o b ! ! !

49. Resources Author: Deborah JohnsonCreated in: Microsoft PowerPoint Clip art: Microsoft PowerPoint Definitions and math images: Holt Algebra 1 Textbook Holt, Rinehart and Winston Publications http://www.algebrahelp.com/worksheets/view/graphing/slope.quiz http://espn.go.com/video/clip?id=5667192 http://www.ltcconline.net/greenl/java/BasicAlgebra/LineGraph/LineGraph.htm Websites: Videos: Created by Deborah Johnson using Interwrite Learning Sound: Microsoft PowerPoint & SoungleSoungle