Nehemiah wrote that 4 + 4 = 8. Then he wrote that 4 + 4 – k = 8 – k. Select the phrases that make the statement true. The equations 1. (are) 2. (are not) balanced because Nehemiah 1.( added k to) 2. ( subtracted k from) each side of the original equation.

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:

can i see a photo of the question so i can you?

good luck on ur quiz test or homework. have a good day : )