Respuesta :

Answer:

C

Step-by-step explanation:

A proportional graph is a line. Every line has a slope. The slope is found by subtracting two points as a ratio. The line has points (0,0) and (2,6).

6-0 = 6

2 -0 = 2

The ratio is vertical over horizontal so 6/2 = 3.

The equation is y = 3x.

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Answer:

C) y = 3x

Step-by-step explanation:

The given graph show a proportional relationship that it's modelled by a linear equation. We can make all the process to calculate the equation that belongs to that behaviour. We just have to find the slope:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}} \\m=\frac{18}{6}=3[/tex]

Using the slope interception formula: [tex]y=mx+b[/tex]

[tex]y=3x+0[/tex]

Because the interception with the vertical axis is null, so the equation would be:

[tex]y=3x[/tex]

Therefore the answer is C.

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