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Graphing Slope-Intercept Form

Graphing Slope-Intercept Form. Stand-Alone Instructional Resource CEP811 Deborah Johnson. Let’s Get Started! Click Here!. Lesson Objectives. Students will master the following 8 th grade Introduction to Algebra and Geometry Instructional Standards:.

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Graphing Slope-Intercept Form

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

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

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

  4. Definition of Slope Definitions Home Page! “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 How to “Count” Slope If you are not familiar with either topic, click on the box for a quick review.

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

  6. There are Four Types of Slope Slope Home Page! Click on the green boxes to further explore each type! Positive! Negative! Zero! Undefined!

  7. Positive Slope! With POSITIVE slope, the line rises from left to right. 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)

  8. With NEGATIVE slope, the line falls from left to right. Negative Slope! 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)

  9. Zero Slope! 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!

  10. VERTICAL lines have undefined slope. 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!)

  11. 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. Zero The graph is a horizontal line. Negative The graph falls from left to right. Undefined The graph is a vertical line. Positive The graph rises from left to right.

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

  13. Remember “Counting” Slope Video 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.

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

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

  16. Need more practice? 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! Ready to move on? Back to Definitions!

  17. Definition of Intercepts Definitions Home Page! “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 (0, y-intercept) “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 (x-intercept, 0) Let’s See How to Remember This Vocabulary!

  18. When you hear “intercepts,” think: Football! http://espn.go.com/video/clip?id=5667192 Think of your line like the “path” Denard Robinson wanted his football to be thrown. 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. 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. Click on the Player to Hear a Story about the Video!

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

  20. Your Turn! Find the x- and y- intercepts. C. D. 4 -1 The x-intercept is: The x-intercept is: 2 4 The y-intercept is: The y-intercept is: Click on the question to view the answer.

  21. Slope-Intercept Form Definitions Home Page! y = mx + b slope y-intercept “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

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

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

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

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

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

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

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

  29. + 2x + 2x y = 2x + 6 The slope is 2. The y-intercept is 6. Next Problem!

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

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

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

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

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

  35. 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.

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

  37. Matching Equations to Graphs Example 2 y = mx + b m = slope b = y-intercept 3 3 b = ? FIRST find the y-intercept: -1 On the graph, click on the correct y-intercept. 2 y = __ x + ___ y = -½x+3 click here to continue which means -½ -½ m = NOW count the slope : watch the graph

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

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

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

  41. Correct! Next Problem!

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

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

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

  45. Correct! Next Problem!

  46. 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!

  47. You Did It! You have successfully completed the “Graphing Slope-Intercept Form Stand-Alone Instructional Resource!” Great Job!!!

  48. Resources Author: Deborah Johnson Created in: Microsoft PowerPoint Definitions and math images: Holt Algebra 1 Textbook Holt, Rinehart and Winston Publications Clip art: Microsoft PowerPoint Sound: Microsoft PowerPoint & Soungle Websites: 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 Videos: Created by Deborah Johnson using Interwrite Learning

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