1) Apply each transformation to the number 23 in the coordinate plane. Make a sketch of each result.
a. (x, y) = (x, 2y)
b. (x, y) = (2x, y)
c. (x, y) - (2x, 2y)

2) Is there any slanted line that passes through only two quadrants and does not pass through the origin? Explain.

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:

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation:

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8