Question

The line segment AB is divided at P(1, 1)
internally in the ratio 5: 2 and coordinates of
point B are (-1, -1) find the coordinates of
point A​

Answer 1

Step-by-step explanation:

P(1,1)

B(-1,-1)

Let A(x,y)

$p( \frac{5( - 1) + 2x}{7} \frac{5( - 1) + 2y}{7} ) \\ \frac{ - 5 + 2x}{7} = 1 \\ 2x = 7 + 5 \\ x = 6 \\ and \\ \frac{ - 5 + 2y}{7} = 1 \\ 2y = 7 + 5 \\ y = 6$

pont A have coordinate 6,6.