Does anyone know how to solve this?

Step-by-step explanation:

step 1. This is a translation.

step 2. The translation is [4, -4]

step 3. y(2, 2) becomes y'(2 + 4, 2 - 4) = y'(6, -2)

step 4. z(-2, 3) becomes z'(-2 + 4, 3 - 4) = z'(2, -1).

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: