Y= 6x - 27 y = 4x - 17 a. ( -5, 3) c. ( 5, 3) b. ( -3, -5) d. no solution

The answer is c. (5, 3).

Step-by-step explanation:

We set 6x - 27 = 4x - 17 and solve for x.

This yields 6x -4x -27 = 4x -4x -17, so

2x -27 +27 = -17 + 27, which means

2x = 10 leading to x = 5

Since y = 6x -27, we see that y = 6(5) - 27 = 30 - 27 =3.

x = 5 and y = 3.

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: