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
