Question

Line segment AB has endpoints A(1, 4) and B(4, 2). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:4.


A) (1,

6

5

)

B) (

18

5

,

8

5

)

C) (

6

5

,

18

5

)

D) (

8

5

,

18

5

)

Answer 1

Answer:

(8/5,18/5)

Step-by-step explanation:

vector AB = (3,-2)

⅕(-3,2) = (0.6,-0.4)

The point that divides A and B is at (1+0.6,4-0.4)

( 1.6,3.6)

Answer 2

Answer:

D

Step-by-step explanation:

(

8

5

,  

7

5

)

(mx2 + nx1)

(m + n)

,  

(my2 + ny1)

(m + n)

Where the point divides the segment internally in the ratio m:n

((1)(4) + (4)(1))

(1 + 4)

,  

((1)(2) + (4)(4))

(1 + 4)

=  

8

5

,  

18

5