Question

Find the coordinates of P so that P partitions the segment AB in the ratio 1:7 if A(7,14) and B(−1,−2).

Answer 1

Answer:

P(6, 12 )

Step-by-step explanation:

Using the Section formula, then

$x_{P}$ = $\frac{7(7)+1(-1)}{1+7}$ = $\frac{49-1}{8}$ = $\frac{48}{8}$ = 6

$y_{P}$ = $\frac{7(14)+1(-2)}{1+7}$ = $\frac{98-2}{8}$ = $\frac{96}{8}$ = 12

Hence P(6, 12 )