Would -x times 5x equal -5x² or -5x?

-5x^2

Step-by-step explanation:

-x times 5x = -5x^2, because there is a X being multiplied with an X.

-5x^2

Step-by-step explanation:

Multiplying a negative variable by the same variable would equal that variable as a negative and also squared

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: