Using the formula y = kx
If y is 27 when x is 3, what is the constant of variation?

y=kx

y/x=kx/x (divided both side by x to find k)

k=y/x

k=27/3

k=9.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

the answer

b. they are parallel and will never intersect.