It should be 8 < n < 11
I hope it helps
YOU'RE WELCOME :D
Answer:
(-1,5)
Step-by-step explanation:
When a line segment is divided in the ratio m:n, we use the section formula to determine the point P which divides the line segment:
The coordinates of x and y are:
![(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%5Cleft%28%5Cdfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%20%5Cdfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5Cright%29)
Given:
![A(x_1,y_1)=(-7, 4)\\B(x_2,y_2)=(8, 9)\\AP:PB=m:n=2:3](https://tex.z-dn.net/?f=A%28x_1%2Cy_1%29%3D%28-7%2C%204%29%5C%5CB%28x_2%2Cy_2%29%3D%288%2C%209%29%5C%5CAP%3APB%3Dm%3An%3D2%3A3)
The coordinates of P is:
![(x,y)=\left(\dfrac{2*8+3*-7}{2+3}, \dfrac{2*9+3*4}{2+3}\right)\\=\left(\dfrac{-5}{5}, \dfrac{25}{5}\right)\\\\=(-1,5)](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%5Cleft%28%5Cdfrac%7B2%2A8%2B3%2A-7%7D%7B2%2B3%7D%2C%20%5Cdfrac%7B2%2A9%2B3%2A4%7D%7B2%2B3%7D%5Cright%29%5C%5C%3D%5Cleft%28%5Cdfrac%7B-5%7D%7B5%7D%2C%20%5Cdfrac%7B25%7D%7B5%7D%5Cright%29%5C%5C%5C%5C%3D%28-1%2C5%29)
Answer:
Points are Labeled with capital Letters, such aa P.
The slope would be 2/5!
I hope this helped! Mark me Brainliest! :) -Raven❤️