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How do you find b? “DRY” How do you find b? How do you find b (dry)?

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Presentation on theme: "How do you find b? “DRY” How do you find b? How do you find b (dry)?"— Presentation transcript:

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2 How do you find b?

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4 “DRY” How do you find b?

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

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

15 Riddle I started with some money. Every week I earned $100. After 4 weeks, I had $900. How much did I start with? b m XY 4900

16 Riddle I started with some money. Every week I earned $100. After 4 weeks, I had $900. How much did I start with? b m XY 0 1 2 3 4900

17 Riddle I started with some money. Every week I earned $100. After 4 weeks, I had $900. How much did I start with? b m XY 0 1 2 3800 4900

18 Riddle I started with some money. Every week I earned $100. After 4 weeks, I had $900. How much did I start with? b m XY 0 1 2700 3800 4900

19 Riddle I started with some money. Every week I earned $100. After 4 weeks, I had $900. How much did I start with? b m XY 0 1600 2700 3800 4900

20 Riddle I started with some money. Every week I earned $100. After 4 weeks, I had $900. How much did I start with? b m XY 0500 1600 2700 3800 4900 $500 4 * 100 Gained $400 900 – 400 Started with $500

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

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

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

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

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

26 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

27 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

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

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

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

31 The End


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