y = 5/6x + 2.7
Step-by-step explanation:
The slope is found with a specific equation using two points on the graph ,correct?
The two points you can easily identify and use are (4,6) and (-2,1)
Using this formula:
(Note that the superscript is meant to be subscript)
After we input it into the equation we should get this...
Once you work it out you should get 5/6, five-sixths as your slope!
The rest is easy!
To find b, we can input a particular point one the line into the equation and then solve for b!
Let's use (4,6)!
Once we input, the equation should look like this...
6 = 5/6(4) + b
Now we have to isolate b, like this:
6 = 20/6 + b
- 20/6
2.66 = b!
So b equals 2.7!
That makes our equation:
y = 5/6x + 2.7
(If you'd like to be more specific, you can put 2.66 instead. Unless you are told to round to the nearest tenth)