Which property of equality was used to solve this equation? x − 5 = -14

x − 5 + 5 = -14 + 5

x = -9

A.
addition property of equality
B.
subtraction property of equality
C.
multiplication property of equality
D.
division property of equality

A

Step-by-step explanation:

as one number being added on both sides

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: