Common differences among the

x
-values and

y
-values and determine if they represent a linear function.

{(3,0),(6,3),(9,6),(12,9)}

x
- values:

6-3=3,9-6=3,12-9=3

y
- values:

3-0=3,6-3=3,9-6=3
It is a linear function.

x
- values:

6+3=9,9+6=15,12+9=21

y
- values:

3+0=3,6+3=9,9+6=15
It is a linear function.

x
- values:

6-3=3,9-6=3,12-9=3

y
- values:

3-0=3,6-3=3,9-6=3
It is not a linear function.

x
- values:

6+3=9,9+6=15,12+9=21

y
- values:

3+0=3,6+3=9,9+6=15
It is not a linear function.

6) Find the common differences among the

x
-values and

y
-values and determine if they represent a linear function.

{(-2,-5),(-5,-11),(-8,-17),(-11,-20 )}

x
- values:

-5-(-2)=-3,-8-(-5)=-3,-11-(-8)=-3
y
- values:

-11-(-5)=-6,-17-(-11)=-6,-20-(-17)= -3
It is a linear function.

x
- values:

-5+(-2)=-7,-8+(-5)=-13,-11+(-8)=-19

y
- values:

-11+(-5)=-16,-17+(-11)=6,-20+(-17)= -37
It is a linear function.

x
- values:

-5+(-2)=-7,-8+(-5)=-13,-11+(-8)=-19

y
- values:

-11+(-5)=-16,-17+(-11)=6,-20+(-17)= -37
It is not a linear function.

x
- values:

-5-(-2)=-3,-8-(-5)=-3,-11-(-8)=-3
y
- values:

-11-(-5)=-6,-17-(-11)=-6,-20-(-17)= -3
It is not a linear function.

7) Write the equation in the standard linear equation form (

Ax+By=C
) if possible. Is the equation linear?

y3+x=5

Yes

5x+y=3

No

xy=15

x5+3y=1

3x+y=15

8) Write the equation in the standard linear equation form (

Ax+By=C
) if possible. Is the equation linear?

3x+5y=8

3x+5y=8

x3+5y=8

Yes

No

3x+8y=5

9) Write the equation in the standard linear equation form (

Ax+By=C
) if possible. Is the equation linear?

x+9y2=1

9x+2y=1

Yes

2x+9y=1

1x+18y=1

No

10)Write the equation in the standard linear equation form (

Ax+By=C
) if possible. Is the equation linear?

1+7x=y

No

Yes

x+y=7

x+7y=1

x+y7=1