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: