1. We're given the endpoints A(2,-4) and B(8,14) of segment AB.
2. The ratio of 5:1 means for every 5 units towards B, there's 1 unit towards A.
3. To find the coordinates of P, we take 5 parts towards B and 1 part towards A.
4. For the x-coordinate of P: (5*8 + 1*2) / (5 + 1) = (40 + 2) / 6 = 42 / 6 = 7
5. For the y-coordinate of P: (5*14 + 1*(-4)) / (5 + 1) = (70 - 4) / 6 = 66 / 6 = 11
6. So, P is at coordinates (7, 11).
