Question

What is the constant proportionality for this relationship? y= 3,6,9,12 x= 2,4,6,8​

Answer 1

`(3)/(2)`

Explanation:

There is a constant difference between the x-values as well as the y-values.

The constant of proportionality can be found by calculating the slope using any pair of points

Let us use (2,3) and (4,6).

Use the slope formula:

`m = (y_2-y_1)/(x_2-x_1)`

We substitute the values to get:

`m = (6 - 3)/(4 - 2) = (3)/(2)`

Therefore the constant of proportionality is

`(3)/(2)`