WILL GIVE BRAINLIEST Explain how you find the scale factor using 2-3 sentences or showing each step. Explain using the ratio of the image length to the pre-image length.

2

Step-by-step explanation:

The scale factor can be determined by simplifying the ratio of the corresponding length of the preimage to that of the image.

The preimage is the smaller shape shown, while the image is the lager shape shown.

Any side length can be used.

Thus, length of one side of the preimage, AD = 4 - 1 = 3 units

AD corresponds to side length A'D' if the image = 7 - 1 = 6 units

The ratio of the image length to the ratio of the preimage length = the scale factor

Thus:

6 : 3 = .

The scale factor is 2.

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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: