Started with slide 13 14-15 full year

1 / 38

# Started with slide 13 14-15 full year - PowerPoint PPT Presentation

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.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Started with slide 13 14-15 full year' - temple

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

Review

What is slope-intercept form?

Y = mX + b

?

Review

What is slope-intercept form?

Y = mX + b

Input

Review

What is slope-intercept form?

Y = mX + b

?

Review

What is slope-intercept form?

Y = mX + b

Output

Review

What is slope-intercept form?

Y = mX + b

?

Review

What is slope-intercept form?

Y = mX + b

Rate of change

a.k.a. Slope

Review

What is slope-intercept form?

Y = mX + b

?

How do you find b?

Review

What is slope-intercept form?

Y = mX + b

Starting amount

a.k.a. ‘y-intercept’

Riddle

b

I started with some money.

m

Every week I earned \$100.

After 4 weeks, I had \$900.

Riddle

b

I started with some money.

m

Every week I earned \$100.

After 4 weeks, I had \$900.

Riddle

b

I started with some money.

m

Every week I earned \$100.

After 4 weeks, I had \$900.

Riddle

b

I started with some money.

m

Every week I earned \$100.

After 4 weeks, I had \$900.

Riddle

b

I started with some money.

m

Every week I earned \$100.

After 4 weeks, I had \$900.

Riddle

b

I started with some money.

m

Every week I earned \$100.

After 4 weeks, I had \$900.

Riddle

b

\$500

I started with some money.

m

Every week I earned \$100.

After 4 weeks, I had \$900.

900 – 400

4 * 100

Gained\$400

Started with \$500

“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

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

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

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!!!

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

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

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

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

m: zero.

point: (-4, -6)

The change in y when x increases by one

Y = -6

m: undefined.

point: (-4, -6)

The change in y when x increases by one

X = -4

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

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 .

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 .

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