Respuesta :

Answer:

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

Step-by-step explanation:

we know that

The graph show represent a direct variation, because the line pass through the origin

The linear equation is of the form

[tex]y=kx[/tex]

where

k is the constant of proportionality or slope

from the graph take the point (3,2)

Find the value of k

[tex]k=\frac{y}{x}[/tex]

substitute the value of x and the value of y

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

substitute

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

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