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Hello there!


The answer is B. [tex] \frac{2}{7} [/tex]
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Explanation and Work:



We first must identify if the line goes through the origin or not. 

The origin is (0, 0) 

The line does go through the origin. This means that there is no y-intercept

The specific equation we would you use would be:

y = kx

K is the constant

We find this by finding the slope.

Slope is found by:

[tex] \frac{y2 - y1}{x2 - x1} [/tex] 

y2 = 2

y1 = 0

x2 = 7

x1 = 0

Now, let's plug in these numbers.

[tex] \frac{2-0}{7-0} = \frac{2}{7} [/tex]

So, now let's plug he slope into our formula.

y = [tex] \frac{2}{7} x[/tex]

So, our answer would be B.


I hope I helped!

Let me know if you need anything else!

~ Zoe


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