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Started with slide 13 14-15 full year

Started with slide 13 14-15 full year. How do you find b?. How do you find b ?. How do you find b ?. “DRY”. How do you find b (dry)?. Review. What is slope-intercept form?. Y = mX + b. ?. Review. What is slope-intercept form?. Y = mX + b. Input. Review.

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Started with slide 13 14-15 full year

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  1. Started with slide 13 14-15 full year

  2. How do you find b?

  3. How do you find b?

  4. How do you find b? “DRY”

  5. How do you find b (dry)?

  6. Review What is slope-intercept form? Y = mX + b ?

  7. Review What is slope-intercept form? Y = mX + b Input

  8. Review What is slope-intercept form? Y = mX + b ?

  9. Review What is slope-intercept form? Y = mX + b Output

  10. Review What is slope-intercept form? Y = mX + b ?

  11. Review What is slope-intercept form? Y = mX + b Rate of change a.k.a. Slope

  12. Review What is slope-intercept form? Y = mX + b ?

  13. How do you find b?

  14. How do you find b? “DRY”

  15. How do you find b? Review What is slope-intercept form? Y = mX + b Starting amount a.k.a. ‘y-intercept’

  16. Riddle b I started with some money. m Every week I earned $100. After 4 weeks, I had $900. How much did I start with?

  17. Riddle b I started with some money. m Every week I earned $100. After 4 weeks, I had $900. How much did I start with?

  18. Riddle b I started with some money. m Every week I earned $100. After 4 weeks, I had $900. How much did I start with?

  19. Riddle b I started with some money. m Every week I earned $100. After 4 weeks, I had $900. How much did I start with?

  20. Riddle b I started with some money. m Every week I earned $100. After 4 weeks, I had $900. How much did I start with?

  21. Riddle b I started with some money. m Every week I earned $100. After 4 weeks, I had $900. How much did I start with?

  22. Riddle b $500 I started with some money. m Every week I earned $100. After 4 weeks, I had $900. How much did I start with? 900 – 400 4 * 100 Gained$400 Started with $500

  23. “DRY” Write the equation of the linear relationship with: m: 100 point: (4, 900). m Y = mX + b y x 900 = 100(4) + b 900 = 400 + b – 400 –400 500 = b Y = 100X + 500

  24. Ex. 1: Write the equation of a line that goes through (7, 8) and has a slope of 2. Y = mX + b Y = 2X – 6 NEED m and b NEED b!!! How to use (7, 8)??? Input Output X Y

  25. Ex. 1: Write the equation of a line that goes through (7, 8) and has a slope of 2. Y = mX + b Y = 2X – 6 8 = 2(7) + b 8 = 14 + b – 14 – 14 -6 = b How to use (7, 8)??? Input Output X Y

  26. Ex. 2: Write the equation of a line with this information: slope: -5 point: (-4, 3) m X Y Y = mX + b 3 is NOT y-intercept!!!

  27. Ex. 2: Write the equation of a line with this information: slope: -5 point: (-4, 3) m X Y Y = -5X – 17 Y = mX + b 3 = -5(-4) + b 3 = 20 + b – 20 – 20 -17 = b

  28. Ex. 3: Write the equation of a line that goes through (0, 8) and has a slope of 2. Y = mX + b NEED m and b Y = 2X + 8

  29. Ex. 3: Write the equation of a line that goes through (0, 8) and has a slope of 2. Y = mX + b NEED m and b Y = 2X + 8

  30. Ex. 4: Write a rule from this information: m: -4 point: (8, -2) m X Y Y = mX + b -2 = -4(8) + b -2 = -32 + b Y = -4X + 30 + 32 + 32 30 = b

  31. Ex. 5: Write an equation for a relationship with this information: m: zero. point: (-4, -6) The change in y when x increases by one Y = -6

  32. Ex. 6: Write an equation for a relationship with this information: m: undefined. point: (-4, -6) The change in y when x increases by one X = -4

  33. The End

  34. Finding Y-Intercept… When you KNOW: slope and one pair of numbers Ex. 5: Write the equation of a line that goes through (-1, 12) and has a slope of . Y = mX + b

  35. Finding Y-Intercept… When you KNOW: slope and one pair of numbers Ex. 6: Write the equation of a line that goes through (0, 19) and has a slope of .

  36. Finding Y-Intercept… When you KNOW: slope and one pair of numbers Ex. 7: Write the equation of a line that goes through (-9, 10) and has a slope of .

  37. Algebra Word Problem I started with some money. m NEED m and b Every week I earned $100. y x Y = mX + b After 4 weeks, I had $900. 900 = 100(4) + b Write the equation for dollars, y, after x weeks. 900 = 400 + b – 400 –400 500 = b Y = 100X + 500

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