Question

Use the given map to find the coordinates of a point that lies on the directed line segment from c to d and partitions the segment in the ratio of 1 to 4

Answer 1

Given:

The line segment is passing through the points (-9,-3) and (8,5),

Divide the segment in the ratio of 1:4.

Use the formula,

`\begin{gathered} ((mx_2+nx_1)/(m+n),(my_2-ny_1)/(m+n)) \\ (x_1,y_1)=(-9,-3) \\ (x_2,y_2)=(8,5) \\ m\colon n=1\colon4 \end{gathered}`

It gives,

`\begin{gathered} ((1(8)+4(-9))/(1+4),(1(5)+4(-3))/(1+4)) \\ (-(28)/(5),-(7)/(5)) \end{gathered}`

Answer:

`(-(28)/(5),-(7)/(5))`