The table shows a linear function. which equation represents the function?

Option C is correct.

The equation represents the function.

Step-by-step explanation:

Using slope intercept form to find the equation of line :

For any two points and   the equation of line is given by:

......[1] ;where m is the slope given by:

Consider any two points from table :

let (4, 2) and (0, 4) be any two points.

calculate slope:

Now, substitute in equation [1]  we have:

Distributive property i.e,  

Add both sides 2 we get;

Simplify:

Since, y= f(x)

therefore, the equation represents the function.

step-by-step explanation:

b and c