Question

If A and B are (-2,-2) and (2,-4) respectively. Find the coordinates of point P

such that AP : PB = 1 : 2​

Answer 1

Answer:

P( - 2/3 , - 8/3 )

Step-by-step explanation:

Section formula: AP : PB = a : b

$P(\frac{bx_{1} +ax_{2} }{a+b} , \frac{by_{1} +ay_{2} }{a+b} )$  

~~~~~~~~~~~~~~

A(- 2, - 2) , B(2, - 4)

AP : PB = 1 : 2

P( x, y )

x = [2×(-2) + 1×2] / 3 = - 2/3

y = [2×(- 2) + 1×(- 4)] / 3 = - 8/3

P( - 2/3 , - 8/3 )