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

Answer:

The  point of contact =  (-2,-7)

Step-by-step 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

$(\frac{mx_{2}-nx_{1} }{m-n} , \frac{my_{2} -ny_{1} }{m-n} )$

      1:3

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

$(\frac{1(7)-3(1) }{1-3} , \frac{1(5)-3(-3) }{1-3} )$

($(\frac{4}{-2} ,\frac{14}{-2} )$

(-2 ,-7)  

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