Make y the subject
y-aw=2w-1

y = 2w - 1 + aw

Step-by-step explanation:

Given

y - aw = 2w - 1 ( isolate y by adding aw to both sides )

y = aw - 1 + aw

step-by-step explanation:

it's is b

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: