Which table determines a linear function?

From left to right:

Table 1:

Choose two points, for example (0,1) and (2,4), then

Note that (1,2) is not in thhis linear equation. So, the table does not correspond to a linear function. (It does not means that you cannot models with two linear function for example).

Table 2.

Take (0,0), (1,3)

The points (1,1) and (3,6) is not in this function.

Table 3. Proceed in the same way, and then there are points that cannont models with the same linear function.

Table 4. Take (0,1), (1,3).

Note that  (2,5) and (3,7) lies in this linear function.

So, the answer is the table 4.

yes

yes yes yes

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b