Respuesta :

carlosego
For this case it is observed that the ordered pair is (18,6)
 An equation to relate both variables is
 y = (1/3) x
 In this case we find that the equation can be a line of slope
 m = (1/3)
 Note that:
 y = (1/3)(18)
 y=6

Answer:

[tex]y=\dfrac{1}{3}x[/tex]

Step-by-step explanation:

It is given that x and y vary directly. It means y is directly proportional to x.

[tex]y\propto x[/tex]

It can be written as

[tex]y=kx[/tex]           .... (1)

where, k is the constant of proportionality.

The given values are x=18 and y=6.

Substitute these values in the above equation.

[tex]6=k(18)[/tex]

Divide both sides by 18.

[tex]\dfrac{6}{18}=k[/tex]

[tex]\dfrac{1}{3}=k[/tex]

Substitute the value of k in equation (1).

[tex]y=\dfrac{1}{3}x[/tex]

Therefore, the required equation is [tex]y=\dfrac{1}{3}x[/tex].