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Graphing: Slope y-Intercept Form

Graphing: Slope y-Intercept Form. Class !. y = mx + b. http://www.clipartpal.com/_thumbs/pd/education/teacher_pointing_at_blackboard.png. Table of Content. Curriculum Outcome. Introduction: Slope y-Intercept Form. Finding the Slope. Finding the y-Intercept. Equation of the Line.

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Graphing: Slope y-Intercept Form

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  1. Graphing:Slope y-Intercept Form Class ! y = mx + b http://www.clipartpal.com/_thumbs/pd/education/teacher_pointing_at_blackboard.png

  2. Table of Content Curriculum Outcome Introduction: Slope y-Intercept Form Finding the Slope Finding the y-Intercept Equation of the Line Slope Example and Solution y-Intercept Example and Solution Equation of a Line: Problem and Solution Table of Values: Page 1 and Page 2 Tutorials References D.May - Graphing: Slope y-Intercept Form

  3. Curriculum Outcome (C4) To determine the equations of lines by obtaining their slopes and y-intercepts from graphs, and sketch graphs of equations using y-intercepts and slopes TOC D.May - Graphing: Slope y-Intercept Form

  4. Slope y-Intercept Form TOC D.May - Graphing: Slope y-Intercept Form

  5. Finding the Slope http://www.freegraphics.com/clipart/Alphabets/Irradescent/free-clipart1.shtml The rise is the change in the y values (how many jumps up or down). The run is the change in the x values (how many jumps left or right). Formula Slope =Rise Run = 2 1 = 2 Graph by; Matt VanRaalte TOC D.May - Graphing: Slope y-Intercept Form

  6. Finding the y-Intercept http://www.freegraphics.com/clipart/Alphabets/Irradescent/free-clipart1.shtml The y-intercept (b) is where the line crosses the y-axis and x = 0. In this example: b = 1 y-intercept TOC Graph by; Matt VanRaalte D.May - Graphing: Slope y-Intercept Form

  7. The Equation of the Line Slope = (m) = 2 y-intercept = (b) = 1 y Equation of the line: y = mx + b y = 2x + 1 Graph by; Matt VanRaalte TOC D.May - Graphing: Slope y-Intercept Form

  8. Find the Slope http://www.quia.com/files/quia/users/jotomalin/lineargraphs/slinear1.gif http://www.fotosearch.com/UNC216/u12836510/ Remember Formula: Slope =Rise Run TOC D.May - Graphing: Slope y-Intercept Form

  9. Find the Slope http://www.fotosearch.com/TBZ141/gl01p025/ Formula: Slope =Rise Run = 2 2 = 1 2 2 TOC D.May - Graphing: Slope y-Intercept Form

  10. Find the y-Intercept http://www.fotosearch.com/UNC216/u12836510/ Remember The y-intercept (b) is where the line crosses the y-axis and x = 0. TOC Graph by; Matt VanRaalte D.May - Graphing: Slope y-Intercept Form

  11. Finding the y-Intercept http://www.fotosearch.com/TBZ141/gl01p025 The y-intercept (b) is where the line crosses the y-axis and x = 0. In this example: b = -3 y-intercept TOC Graph by; Matt VanRaalte D.May - Graphing: Slope y-Intercept Form

  12. Putting It All Together In this example: m = 1 http://www.fotosearch.com/TBZ141/gl01p025 y-intercept = -3 Equation of the line y = mx + b y = 1x  3 TOC Graph by; Matt VanRaalte D.May - Graphing: Slope y-Intercept Form

  13. Find the Equation of the Line http://www.fotosearch.com/UNC216/u12836510/ • Find: • slope (m) • y-intercept (b) • equation of line • (y = mx + b) Graph by: http://www.intmath.com/Systems-of-equations/2_graphs-linear-functions.php TOC D.May - Graphing: Slope y-Intercept Form

  14. Solution Slope (m)= http://www.fotosearch.com/TBZ141/gl01p025/ y-intercept is where the line crosses the y axis = (0,6) y-intercept (b) = 6 4 2 Equation of the line y = mx + b y = 2x + 6 Graph by: http://www.intmath.com/Systems-of-equations/2_graphs-linear-functions.php TOC D.May - Graphing: Slope y-Intercept Form

  15. Table of Values y = 2x + 3 Insert the x values into the equation to find the y values 1 3 5 Plot the coordinates on the graph 7 9 Graph by; D May TOC D.May - Graphing: Slope y-Intercept Form

  16. Table of Values y = 2x + 3 When x increases by 1, y increases by 2, therefore m=2 y-intercept where x = 0 Graph by; Matt VanRaalte TOC D.May - Graphing: Slope y-Intercept Form

  17. Tutorials Video: Slope Review http://www.fotosarch.com/UNC265/u15206032/ Video: Y-intercept review http://www.fotosarch.com/UNC265/u15206032 Audio: y=mx+b Song http://www.myimager.com/ready.php?f=17435202151_677656.gif&t=op TOC D.May - Graphing: Slope y-Intercept Form

  18. References • Davitily. (2008, October). Given a Graph, Find the Slope [Video file]. Youtube. Retrieved from http://www.youtube.com/watch?v=c-iK1SCCINc • Glenhamlen. (2008, August 5). Y=MX+B [Video file]. Retrieved from http://www.youtube.com/watch?v=_YCwGdiUnKE • Lloyd. (2009, February 25). Finding a y-Intercepr from a Linear Graph [Video file]. Retrieved from http://www.youtube.com/watch?v=A65Ok-Q8C7s • TOC D.May - Graphing: Slope y-Intercept Form

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