how do you find b? “dry” how do you find b? how do you find b (dry)?

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How do you find b?

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Page 1: How do you find b? “DRY” How do you find b? How do you find b (dry)?

How do you find b?

Page 2: How do you find b? “DRY” How do you find b? How do you find b (dry)?

How do you find b?

Page 3: How do you find b? “DRY” How do you find b? How do you find b (dry)?

“DRY”

How do you find b?

Page 4: How do you find b? “DRY” How do you find b? How do you find b (dry)?

How do you find b (dry)?

Page 5: How do you find b? “DRY” How do you find b? How do you find b (dry)?

Review

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

?

Page 6: How do you find b? “DRY” How do you find b? How do you find b (dry)?

Review

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

Input

Page 7: How do you find b? “DRY” How do you find b? How do you find b (dry)?

Review

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

?

Page 8: How do you find b? “DRY” How do you find b? How do you find b (dry)?

Review

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

Output

Page 9: How do you find b? “DRY” How do you find b? How do you find b (dry)?

Review

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

?

Page 10: How do you find b? “DRY” How do you find b? How do you find b (dry)?

Review

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

Rate of changea.k.a. Slope

Page 11: How do you find b? “DRY” How do you find b? How do you find b (dry)?

Review

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

?

Page 12: How do you find b? “DRY” How do you find b? How do you find b (dry)?

Review

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

Starting amounta.k.a. ‘y-intercept’

How do you find b?

Page 13: How do you find b? “DRY” How do you find b? How do you find b (dry)?

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 X Y

Page 14: How do you find b? “DRY” How do you find b? How do you find b (dry)?

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 X Y

4 900

Page 15: How do you find b? “DRY” How do you find b? How do you find b (dry)?

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 X Y01234 900

Page 16: How do you find b? “DRY” How do you find b? How do you find b (dry)?

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 X Y0123 8004 900

Page 17: How do you find b? “DRY” How do you find b? How do you find b (dry)?

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 X Y012 7003 8004 900

Page 18: How do you find b? “DRY” How do you find b? How do you find b (dry)?

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 X Y01 6002 7003 8004 900

Page 19: How do you find b? “DRY” How do you find b? How do you find b (dry)?

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 X Y0 5001 6002 7003 8004 900

$500

4 * 100Gained $400

900 – 400Started with $500

Page 20: How do you find b? “DRY” How do you find b? How do you find b (dry)?

Write the equation of the linear relationship with:

m: 100

point: (4, 900).

mY = mX + b

900 = 100(4) + b

900 = 400 + b–400– 400

500 = b

x y

“DRY”

Y = 100X + 500

Page 21: How do you find b? “DRY” How do you find b? How do you find b (dry)?

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!!!

X Y

Y = 2X – 6

Page 22: How do you find b? “DRY” How do you find b? How do you find b (dry)?

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) + b8 = 14 + b

-6 = b

Y = 2X – 6

– 14– 14

X Y

Page 23: How do you find b? “DRY” How do you find b? How do you find b (dry)?

Ex. 2: Write the equation of a line with this information:

slope: -5

point: (-4, 3)

Y = mX + b3 is NOT

y-intercept!!!

X Y

m

Page 24: How do you find b? “DRY” How do you find b? How do you find b (dry)?

Ex. 2: Write the equation of a line with this information:

slope: -5

point: (-4, 3)

Y = mX + b

3 = -5(-4) + b3 = 20 + b

-17 = b

Y = -5X – 17

– 20– 20

X Y

m

Page 25: How do you find b? “DRY” How do you find b? How do you find b (dry)?

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

Page 26: How do you find b? “DRY” How do you find b? How do you find b (dry)?

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

Page 27: How do you find b? “DRY” How do you find b? How do you find b (dry)?

Ex. 4: Write a rule from this information:

m: -4 point: (8, -2)

Y = mX + b

-2 = -4(8) + b-2 = -32 + b

30 = bY = -4X + 30+ 32+ 32

X Ym

Page 28: How do you find b? “DRY” How do you find b? How do you find b (dry)?

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

Page 29: How do you find b? “DRY” How do you find b? How do you find b (dry)?

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

Page 30: How do you find b? “DRY” How do you find b? How do you find b (dry)?

The End