Does anyone know the answer? need it

(2 1/2,0)

Step-by-step explanation:

f(x)=2*1/2-3*1/3x

f(x)'=5/2-4/3x=y

5/2-4/3x=y

15-8x=6y

-8x=6y-15

x=-6/8+15/8

x=-3/4y+15/8

-3/4y+15/8=0

3/4y=15/8

6y=15

y=15/6

y=3/2

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:

i think it would be 42cm