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The following graph would be below!
Look at the attachment for answer.
For this case we have a function of the form:
![y = mx + b](https://tex.z-dn.net/?f=%20y%20%3D%20mx%20%2B%20b%20%20)
Where,
m: slope of the line
b: cutting point with the y axis.
The line cuts to the y-axis at the point:
![(x, y) = (0, 0)](https://tex.z-dn.net/?f=%20%28x%2C%20y%29%20%3D%20%280%2C%200%29%20%20)
Therefore, the value of b is given by:
![b = 0](https://tex.z-dn.net/?f=%20%20b%20%3D%200%20%20)
We now look for the slope of the line.
For this, we use the following equation:
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%20m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D%20%20)
Substituting values we have:
![m=\frac{1-0}{3-0}](https://tex.z-dn.net/?f=%20m%3D%5Cfrac%7B1-0%7D%7B3-0%7D%20%20)
Rewriting:
![m=\frac{1}{3}](https://tex.z-dn.net/?f=%20%20m%3D%5Cfrac%7B1%7D%7B3%7D%20)
Then, the equation of the line is:
![y=\frac{1}{3}x](https://tex.z-dn.net/?f=%20y%3D%5Cfrac%7B1%7D%7B3%7Dx%20%20)
Answer:
the rule that matches the function shown in the graph is:
![y=\frac{1}{3}x](https://tex.z-dn.net/?f=%20y%3D%5Cfrac%7B1%7D%7B3%7Dx%20%20)
Answer:
x= -5/3
Step-by-step explanation:
hope this helps :) have a nice day !!