Which of the following linear equations corresponds to the table above?

C

Step-by-step explanation:

if you input any value of x and y from the chart (lets pick the pair (0,3) for this) into each equation you'll see that the answer is c.

Lets prove it:

y=1/4x+3

3= 1/4(0)+3

3=3

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: