Respuesta :

Answer:

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

Step-by-step explanation:

Assuming a straight line function, the following formula can be used:

[tex]y=mx +c\\[/tex]

Where c is the y intercept, and m is the slope of the function. The y intercept of a function is the value where x = 0, which in this case is zero, giving the function:

[tex]y=mx[/tex]

Find the slope using the first two points:

[tex]m=\frac{y_{1} -y_{2} }{x_{1} -x_{2} } \\\\m=\frac{-4--2}{-6--3} \\\\m=\frac{-2}{-3} \\\\m=\frac{2}{3}[/tex]

∴ [tex]y=\frac{2}{3} x[/tex]

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