Which table represents a linear function?

Table 4 represents the linear function.

Step-by-step explanation:

For table 1.

y = mx + c

m = (y-y')/(x-x') = (2-1)/1-0 = 1

y = x +c

Since point(2, 4) lies on the the line

4 = 2 + c

c = 2

y = x + 2

If third point(3, 8) passes through the line then it's a linear function.

8 = 3 + 2 = 5

which is not true therefore its nor linear.

For table 2

y = mx + c

passes through origin (0,0)

so c =0

m = (0-1)/(0-1) =1

y = x is the equation

But points 2 and 3 of the table don't follow the equation so function is non linear.

For table 3

y = mx + c

passes through (0,0)

so c  =0

m = (1-0)/(1-0) = 1

y = x will the equation but points 3 and 4 don't pass through this line so function is non linear.

For 4th table

y = mx + c

m = (1-3)/(0-1) = 2

passe through (2, 5)

5 = 2.2 + c

c = 1

y = 2x + 1

since Fourth point (3, 7) satisfy the function.

7 = 3.2 + 1 = 7

Therefore this table represents a linear function.