Linear Functions

Slope

100

(2, -6) (4, -10)

-2

200

(-7, 4) (8, -12)

-16/15

300

(7, 9) (7, 12)

Undefined

400

3x-2y=12

3/2

500

(-8, 2) (6, 2)

0

y-intercept

100

y=1/2x-6

-6

200

(-3,9) (4, 8)

60/7

300

5x-3y+12=0

4

400

2/5x+y=10

10

500

y-7=-3(x-2)

13

Slope-Intercept Form

100

4x-5y=10

4=4/5x-2

200

2y=6x-10

y=3x-5

300

(0,-8), m=-3

y=-3x-8

400

10-4x=-2y

y=2x-5

500

5x=3y-12

y=5/3x+4

Standard Form

100

y=2x-5

-2x+y=-5

200

6x=5-2y

6x+2y=5

300

6=3x-y

3x-y=6

400

5-x=3y

-x-3y=-5

500

8x-4=3y

8x-3y=4

On the Line?

100

y=2x-5, (0,5)

No

200

y=4/5x+2, (0,2)

Yes

300

y=3x-1, (2,5)

Yes

400

x+y=7, (-2, 9)

Yes

500

2x-y=4, (3, 1)

No