What is the slope of the line that passes through (3,-7) and (-1,1)

the slope would be the change in Y over the change in X,

-7-1= -8, 3-(-1)= 4, -8/4 or -2 is the slope

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: