Question

Which of the coordinate points below will fall on a line where the constant of proportionality is 23? Select all that apply.

A) (6,8)
B) (3,2)
C) (6,4)
D) (9,6)
E) (12,8)

Answer 1

(3,2)

(6,4)

(9,6)

(12,8)

Explanation:

Constant of proportionality is 2/3

This means that:

`y = (2)/(3)x`

Thus, y should be less than x, which removes option A.

B) (3,2)

x = 3, so:

`y = (2)/(3)x = (2)/(3)3 = 2`

So (3,2) is on the line

C) (6,4)

x = 6, so:

`y = (2)/(3)x = (2)/(3)6 = 4`

So (6,4) is on the line

D) (9,6)

x = 9, so:

`y = (2)/(3)x = (2)/(3)9 = 6`

So (9,6) is on the line

E) (12,8)

x = 12, so:

`y = (2)/(3)x = (2)/(3)12 = 8`

So (12,8) is on the line