Linear Functions and Slope Intercept Form

Slope

100

y=2/3x + 4

2/3

200

y=-1/2x - 4

-1/2

300

What letter do we use to represent slope?

m

400

Slope is a fraction in which we measure the change in ________ divided by the change in _________.  

y/x 

500

The four types of slopes are.... 

positive, negative, zero, undefined

Y-intercept

100

y=2/3x + 6

6

200

y=4x - 7

-7

300

y=-x+6

6

400

y=5x

0

500

What is the y-intercept?

It is the point on our line that cross/touches/meets the y axis.

Slope continued

100

y=2

0

200

y=x-9

1/1

300

y=-x+3

-1/1

400

y=1/2x +4

1/2

500

A negative slope ____________.

decreases or increases?

decreases

Slope Intercept Form

100

m= 3

b= 4

y=3x+4

200

m= -5

b= 2

y=-5x+2

300

m= -1/2

b= -5

y=-1/2x-5

400

m= 1

b= -2

y=1x-2

y=x-2

500

m= 6

b= 0

y=6x+0

y=6x

Function or Not a Function?

100

(1,3) (1,5) (2,4)

No

200

(3,4) (4,7) (2,9) (5,1)

yes

300

(-4,3) (-2,3) (8,3) (-4,1)

no

400

(1,1) (2,2) (3,3) (4,4)

yes

500

If a set of data is a function, then the x values ________ repeat.

can or cannot?

cannot