Question

What are the coordinates of the point on the directed line segment from (1, -3) to

(7,5) that partitions the segment into a ratio of 1 to 3?

Answer 1

The point of contact = (-2,-7)

Explanation:

Explanation

Given that the points are (1,-3) and (7,5)

Given that ratio m:n = 1:3

The line segment AB divides 1:3 internally

`((mx_(2)-nx_(1) )/(m-n) , (my_(2) -ny_(1) )/(m-n) )`

1:3

A(1,-3) and B(7,5)

`((1(7)-3(1) )/(1-3) , (1(5)-3(-3) )/(1-3) )`

(
`((4)/(-2) ,(14)/(-2) )`

(-2 ,-7)

The point of contact = (-2,-7)