Bis the midpoint ofac, ab = 4x – 2,
bc = 2x + 4. find the lengths of ab, bc and ac.

if B is the midpoint of AC, that means that B cuts AC in two equal halves, namely  that AB and BC are identical twins.

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:

think about it deeply and passionately about this property

i am sorry