Given 2x+y=6 perform the necessary operations to put equation into the proper general form. explain in complete sentences how you knew that the equation was a proper general form

2x + y -6 = 0

Step-by-step explanation:

The general form is .  A and B must be greater than 1  and A is positive  Subtract C to both sides to make it general form. 2x + y - 6 = 0

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: