Decide whether each of these tables represents a linear func

Decide whether each of these tables represents a linear function and explain your reasoning.

Solution

now, since x values are increasing by a constant value ,

check whether y values are either increasing or decreasing by a constant value here

1-(-7)=8

-7-(-7)=0

-7-(1)=8

1-17=-16

they are not equal. so the table doesnot represent a linear function

now, consider

since x values are increasing by a constant value ,

check whether y values are either increasing or decreasing by a constant value here

-1-3=-4

3-7=-4

7-11=-4

11-15=-4

since these values are equal, the table represents a linear function

x	y
-3	1
-1	-7
1	-7
3	1
5	17