babyboysebas4 babyboysebas4
  • 18-11-2019
  • Mathematics
contestada

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

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 21-11-2019

Answer:

[tex] \frac{3}{2} [/tex]

Step-by-step 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:

[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]

We substitute the values to get:

[tex]m = \frac{6 - 3}{4 - 2} = \frac{3}{2} [/tex]

Therefore the constant of proportionality is

[tex] \frac{3}{2} [/tex]

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