Algebra 1

Lesson 7.7

Slope-Intercept Form

How would you... describe these dogs?

How would you... Describe these drinks?

Mocha coconut frappuccino

Iced caramel macchiato

88

83

3

3

How would you... Describe these cubes?

1 2 3 4 5 6 7 8 9-1 -2-3-4-5-6-7-8-9

1

2

3

4

5

6

7

8

9

-10 10

10

-1

-2

-3

-4

-5

-6

-7

-8

-9

-10

y

x

How would you... Describe these lines?

1 2 3 4 5 6 7 8 9-1 -2-3-4-5-6-7-8-9

1

2

3

4

5

6

7

8

9

-10 10

10

-1

-2

-3

-4

-5

-6

-7

-8

-9

-10

y

x

GraphingTo describe a line,

we identify theSLOPE and Y-INTERCEPT

1 2 3 4 5 6 7 8 9-1 -2-3-4-5-6-7-8-9

1

2

3

4

5

6

7

8

9

-10 10

10

-1

-2

-3

-4

-5

-6

-7

-8

-9

-10

x

y

y = mx + bFormula:

y = mx + bslope y-intercept

y = - x - 478

y = 5x - 2

y = x 28

1)

2)

3)

y = mx + bslope y-intercept

y = x - 253

Graph this line:

y = mx + bslope y-intercept

y = - x + 3

Graph this line:

25

y = mx + bslope y-intercept

y = x - 1

Graph this line:

14

#1

y = mx + bslope y-intercept

y = - x + 2

Graph this line:

#2

y = mx + bslope y-intercept

y = x + 1

Graph this line:

#3

y = mx + bslope y-intercept

y = x - 4

Graph this line:

43

#4

y = mx + bslope y-intercept

y = 4

Graph this line:

#6

Transforming between standard and slope-intercept form

Standard Form Slope-Intercept Formvs.

Ax + By = C y = mx + b

x + y = # y = x + #

-2x + y = 4

Simplified... Simplified...

Standard Form Slope-Intercept FormAx + By = C y = mx + c

x + y = # y = x + #-6x + y = 4

y = -9x + 3

-10x + 5y = 15

b