Find the coordinates of p so that p partitions the segment ab in the ratio 1: 3 if a(5,8) and b(−1,4).
a. (-6.5, -9)
b. (-1.5, -1)
c. (3.5, 7)
d. (-4, -6)

The coordinates of point P are (3.5 , 7) ⇒ answer C

Step-by-step explanation:

* Lets explain how to solve the problem

- If the point (x , y) divide a line whose endpoints are (x1 , y1) , (x2 , y2)

 at ratio m1 : m2 from the point (x1 , y1), then the coordinates of the

 point (x , y) are

* Lets solve the problem

∵ A is (5 , 8) and B is (-1 , 4)

∵ P divides AB in the ratio 1 : 3

∴ m1 = 1 and m2 = 3

- Let A = (x1 , y1) and B = (x2 , y2)

∴ x1 = 5 , x2 = -1 and y1 = 8 , y2 = 4

- Let P = (x , y)

∴

∴

∴ The coordinates of point P are (3.5 , 7)

add an !

step-by-step explanation: