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
