Answer:
y = -8x + 12
Step-by-step explanation:
Slope intercept form: y = mx + b
m ---> Slope & b ----> y-intercept
8x + y = 12
Subtract 8x from both sides
y = -8x + 12
0.156 because you take 3.9 (fudge) and divide it by 25 (guests)
If it is ....
![3 {x}^{2} - 2x + 1 =](https://tex.z-dn.net/?f=3%20%7Bx%7D%5E%7B2%7D%20%20-%202x%20%2B%201%20%3D%20)
The coefficient of x² is (( 3 ))
& the coefficient of x is (( -2 ))
_________________________________
If it is .....
![3x - 2x + 1](https://tex.z-dn.net/?f=3x%20-%202x%20%2B%201)
![x + 1](https://tex.z-dn.net/?f=x%20%2B%201)
The coefficient of x² is (( zero 0 ))
& the coefficient of x is (( 1 ))
Keeping in mind that, the segment is split in three thirds, and the point is 2/3 of the way, so is closer to (9, -2), with a 2:1 ratio, check the picture below.
![\bf \left. \qquad \right.\textit{internal division of a line segment} \\\\\\ A(3,4)\qquad B(9,-2)\qquad \qquad 2:1 \\\\\\ \cfrac{AC}{CB} = \cfrac{2}{1}\implies \cfrac{A}{B} = \cfrac{2}{1}\implies 1A=2B\implies 1(3,4)=2(9,-2)\\\\ -------------------------------\\\\ { C=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\\ -------------------------------](https://tex.z-dn.net/?f=%5Cbf%20%5Cleft.%20%5Cqquad%20%20%5Cright.%5Ctextit%7Binternal%20division%20of%20a%20line%20segment%7D%0A%5C%5C%5C%5C%5C%5C%0AA%283%2C4%29%5Cqquad%20B%289%2C-2%29%5Cqquad%0A%5Cqquad%202%3A1%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7BAC%7D%7BCB%7D%20%3D%20%5Ccfrac%7B2%7D%7B1%7D%5Cimplies%20%5Ccfrac%7BA%7D%7BB%7D%20%3D%20%5Ccfrac%7B2%7D%7B1%7D%5Cimplies%201A%3D2B%5Cimplies%201%283%2C4%29%3D2%289%2C-2%29%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0A%7B%20C%3D%5Cleft%28%5Ccfrac%7B%5Ctextit%7Bsum%20of%20%22x%22%20values%7D%7D%7B%5Ctextit%7Bsum%20of%20ratios%7D%7D%5Cquad%20%2C%5Cquad%20%5Ccfrac%7B%5Ctextit%7Bsum%20of%20%22y%22%20values%7D%7D%7B%5Ctextit%7Bsum%20of%20ratios%7D%7D%5Cright%29%7D%5C%5C%5C%5C%0A-------------------------------)
I believe it is B. Correct me if I’m wrong.
I hope this helped!
I would appreciate it if you gave me a Thanks and a brainliest (: