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x = 3

1. Subtract 5 from both sides of the equation.

6 + 5 = 3 + 1 4 6 + 5 − 5 = 3 + 1 4 − 5

2. Simplify

Subtract the numbers 6 = 3 + 9

3. Subtract 3x from both sides of the equation.

6 = 3 + 9 6 − 3 = 3 + 9 − 3

4. Simplify.

Combine like terms - 3x = 9

5. Divide both sides of the equation by the same term

3 = 9 3 3 = 9 3

6. Simplify

Cancel terms that are in both the numerator and denominator Divide the numbers = 3

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:

d

step-by-step explanation: