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)

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joaobezerra joaobezerra · Answer 1 · 2021-06-19T02:06:24+02:00

Answer:

(3,2)

(6,4)

(9,6)

(12,8)

Step-by-step explanation:

Constant of proportionality is 2/3

This means that:

[tex]y = \frac{2}{3}x[/tex]

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

B) (3,2)

x = 3, so:

[tex]y = \frac{2}{3}x = \frac{2}{3}3 = 2[/tex]

So (3,2) is on the line

C) (6,4)

x = 6, so:

[tex]y = \frac{2}{3}x = \frac{2}{3}6 = 4[/tex]

So (6,4) is on the line

D) (9,6)

x = 9, so:

[tex]y = \frac{2}{3}x = \frac{2}{3}9 = 6[/tex]

So (9,6) is on the line

E) (12,8)

x = 12, so:

[tex]y = \frac{2}{3}x = \frac{2}{3}12 = 8[/tex]

So (12,8) is on the line