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the other vertex is (4,5)

Step-by-step explanation:

the reason is if you start at (0,5) and go all the way right then take (4,0) and go all the way up, they intersect at (4,5)

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-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: