Which of the coordinate points below will fall on a line where the constant of proportionality is 1/4? Select all that apply. A) (4,1) B) (8,12) C) (12,3) D) (20,5) E) (12,6)

Respuesta :

Answer:

A) (4,1)  C) (12,3) D) (20,5)

Step-by-step explanation:

Required

Which has a constant of proportionality of 1/4

To solve this, we make use of:

[tex]y = kx[/tex]

Where k is the constant of proportionality.

Solve for x

[tex]k = y/x[/tex]

Testing the given options

A) (4,1)

[tex]k = y/x[/tex]

[tex]k =1/4[/tex]

B) (8,12)

[tex]k = y/x[/tex]

[tex]k =12/8[/tex]

[tex]k =3/2[/tex]

C) (12,3)

[tex]k = y/x[/tex]

[tex]k = 3/12[/tex]

[tex]k = 1/4[/tex]

D) (20,5)

[tex]k = y/x[/tex]

[tex]k = 5/20[/tex]

[tex]k = 1/4[/tex]

E) (12,6)

[tex]k = y/x[/tex]

[tex]k =6/12[/tex]

[tex]k =1/2[/tex]