Answer:
![y=\frac{1}{3}x-1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx-1)
As the line equation represents a straight line, so the relationship between x and y is a straight line.
Therefore, option E is true.
Step-by-step explanation:
Taking two points from the given line
Finding the slope between two points
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![\left(x_1,\:y_1\right)=\left(3,\:0\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)](https://tex.z-dn.net/?f=%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%283%2C%5C%3A0%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%28-3%2C%5C%3A-2%5Cright%29)
![m=\frac{-2-0}{-3-3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-2-0%7D%7B-3-3%7D)
![m=\frac{1}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B3%7D)
From the graph, the y-intercept can be calculated by setting the x=0 and then check the corresponding value of y.
at x = 0, y=-1
Thus, the y-intercept = -1
We know that the slope-intercept form is
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where m is the slope, and b is the y-intercept
substituting the values of m=1/3 and the y-intercept b = -1
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
![y=\frac{1}{3}x+\left(-1\right)](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx%2B%5Cleft%28-1%5Cright%29)
![y=\frac{1}{3}x-1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx-1)
As the line equation represents a straight line, so the relationship between x and y is a straight line.
Therefore, option E is true.