Quadrilateral MATH has vertices M = (1,3). A=(-4,6).T=(-2,7), and H=(5,9). Quadrilateral M'A'T'' is the image after dilating MATH by a scale factor of 3 about the origin.
What are the coordinates of A'?
OA (-4,18)
OB (-12,6)
Oc(-12, 18)
OD. (-64,216)

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:

ab will be equal to

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves