What is the slope of the trend line drawn into the scatterplot? On a graph, a line goes through points (2, 27) and (13, 36). StartFraction 15 Over 163 EndFraction StartFraction 11 Over 109 EndFraction StartFraction 109 Over 11 EndFraction StartFraction 163 Over 15 EndFraction

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: