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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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Presentation Transcript
slide6

Review

What is slope-intercept form?

Y = mX + b

?

slide7

Review

What is slope-intercept form?

Y = mX + b

Input

slide8

Review

What is slope-intercept form?

Y = mX + b

?

slide9

Review

What is slope-intercept form?

Y = mX + b

Output

slide10

Review

What is slope-intercept form?

Y = mX + b

?

slide11

Review

What is slope-intercept form?

Y = mX + b

Rate of change

a.k.a. Slope

slide12

Review

What is slope-intercept form?

Y = mX + b

?

slide15

How do you find b?

Review

What is slope-intercept form?

Y = mX + b

Starting amount

a.k.a. ‘y-intercept’

slide16

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?

slide17

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?

slide18

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?

slide19

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?

slide20

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?

slide21

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?

slide22

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

slide23

“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

slide24

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

slide25

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

slide26

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!!!

slide27

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

slide28

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

slide29

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

slide30

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

slide31

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

slide32

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

slide35

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

slide36

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 .

slide37

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 .

slide38

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