Question

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

Answer 1

Answer:

(3,2)

(6,4)

(9,6)

(12,8)

Step-by-step explanation:

Constant of proportionality is 2/3

This means that:

$y = \frac{2}{3}x$

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

B) (3,2)

x = 3, so:

$y = \frac{2}{3}x = \frac{2}{3}3 = 2$

So (3,2) is on the line

C) (6,4)

x = 6, so:

$y = \frac{2}{3}x = \frac{2}{3}6 = 4$

So (6,4) is on the line

D) (9,6)

x = 9, so:

$y = \frac{2}{3}x = \frac{2}{3}9 = 6$

So (9,6) is on the line

E) (12,8)

x = 12, so:

$y = \frac{2}{3}x = \frac{2}{3}12 = 8$

So (12,8) is on the line