Can someone answer this with steps please.

the rate is 2

Step-by-step explanation:

Each of the output is increasing by 2.  (-3)- (-5) = 2 , 3-1 =2... just pick 2 consecutive numbers and subtract them from each other.

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: