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Mastering Slope-Intercept Form for Line Graphs

Learn to determine slope-intercept form of lines, graph with variations, & solve rate of change problems. Practice and assess through engaging activities.

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Mastering Slope-Intercept Form for Line Graphs

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  1. Tuesday January 20th Bell Ringer: Jose has goes to six flags for his birthday. He pays a 6.25 initial fee and then pays $0.75 per ride. Determine a function rule that relates the money he spends to the total number of rides he takes.

  2. Bell Ringer Cont. • Y=6.25+0.75x • Y=total money spent • X=number of rides taken

  3. This week Tuesday: I CAN determine the slope intercept form of a line from its graph Wednesday: I CAN graph lines in slope intercept form and determine how changing m and b will affect my line Thursday: I CAN the slope of parallel and perpendicular lines Friday: I relate slope and slope intercept form to rate of change problems + Small quiz

  4. Today Objective: I CAN determine how changing m and b will affect my graph Homework: none!!!!! Except watch Georgetown play Pitt tonight in basketball

  5. First, Let’s go over the two problems from the homework • Let’s look at problem #.

  6. So now… • Take out the worksheet from yesterday. • Let’s look at example #3 • If you don’t have it, you may work in partners. • If you are the person without the sheet come and see me to pick up a piece of graph paper

  7. Let’s try one on our own:

  8. Let’s try one on our own: Y intercept is -1. So graph point (0,-1)

  9. Let’s try one on our own: Now, use slope to find another point Rise=2 Run=3

  10. Let’s try one on our own: Connect the points using with a line

  11. Turn your sheet over and try 12 and 13. • You have five minutes….go….

  12. Number 12

  13. Number 13

  14. Let’s compare M= slope B = y - intercept

  15. So if we change the slope how does it change the line? • The greater the absolute value of m, the steeper the line • Use agile mind

  16. So if we change the y-intercept how does it change the line? • The higher the y intercept the higher the line

  17. Let’s compare

  18. So now take a piece of paper • PUT a big A on one side • Put a big B on the other side

  19. Now which line is steeper • y=3x+1 • Y=6x+1

  20. Now which line is steeper • y=3x+1 • Y=6x+1 B. Because the m=6 which is greater than 3

  21. Which line in steeper? • y=-2x+1 • Y=x+4

  22. Which line in steeper? • y=-2x+1 • Y=x+4 A. Because the absolute value of -2 is greater than 1.

  23. Now which line is steeper? • Hertz charges $0.35 per mile • Avis charges $0.40 per mile

  24. Now which line is steeper? • Hertz charges $0.35 per mile Y=0.35x b. Avis charges $0.40 per mile Y=0.40x

  25. Now which line is higher on the graph a. y=3x+10 b. y=4x+6

  26. Now which line is higher on the graph a. y=3x+10 b. y=4x+6

  27. Which graph is higher • y=3x-2 • y=4x-8

  28. Which graph is higher • y=3x-2 • y=4x-8

  29. Which graph is higher • In the summer months hertz charges an initial fee of $25 and then $0.30 a mile • In the winter Hertz charges an initial fee of $35 and then $0.30 a mile

  30. Which graph is higher • In the summer months hertz charges an initial fee of $25 and then $0.30 a mile Y=25+0.30x B.In the winter Hertz charges an initial fee of $35 and then $0.30 a mile Y=0.30x+35

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