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A'(4, -3) ; T'(-1, 4)

Step-by-step explanation:

Multiply the coordinates by 1/2, or divide them by 2 to get the new points.

A(8, -6) ⇒ A'(4, -3)

T(-2, 8) ⇒ T'(-1, 4)

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: