<u>Answer:</u>
The correct answer option is C) y = -2/3x - 13/3.
<u>Step-by-step explanation:</u>
We are given a straight line graph with one known point and we are to find its equation.
We will take one more point on the line to find the slope.
(-5, -1) and (-2, -3)
Slope (m) = ![\frac{-3-(-1)}{-2-(-5)} =-\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-3-%28-1%29%7D%7B-2-%28-5%29%7D%20%3D-%5Cfrac%7B2%7D%7B3%7D)
Now finding the y-intercept:
![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
![-1=-\frac{2}{3} (-5)+c](https://tex.z-dn.net/?f=-1%3D-%5Cfrac%7B2%7D%7B3%7D%20%28-5%29%2Bc)
![c=-\frac{13}{3}](https://tex.z-dn.net/?f=c%3D-%5Cfrac%7B13%7D%7B3%7D)
Therefore, the equation of this line is y = -2/3x - 13/3.
Answer:
B
Step-by-step explanation:
Because C and D would make no sense and on A, you are leaving out the 1/4 so B