Answer:
![y = -\frac{3}{2} + 5](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B3%7D%7B2%7D%20%2B%205)
Step-by-step explanation:
Firstly, you know that there is a +5 because at x=0, y = 5
Now, to find the slope, you need to use a formula:
change in y ÷ change in x so, we use two graph points:
(0, 5) and (4, -1)
Now we can use the formula:
![\frac{-1 - 5}{4 - 0} = \frac{-6}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%20-%205%7D%7B4%20-%200%7D%20%20%3D%20%5Cfrac%7B-6%7D%7B4%7D)
Simplify:
![\frac{-6/2}{4/2} = \frac{-3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-6%2F2%7D%7B4%2F2%7D%20%20%3D%20%5Cfrac%7B-3%7D%7B2%7D)
So now we can put the equation together and get:
![y = -\frac{3}{2} + 5](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B3%7D%7B2%7D%20%2B%205)
Hope this helps!