Question

Given the end points of A(-8,-2) and B(6,19). The segment AB is divided into the ratio atAR:RB in a 2:5 ratio. Find the coordinates of point R.R=

Answer 1

The given coordinates in the question are

`\begin{gathered} A=(-8,-2)\text{ = x1=-8, y1=-2} \\ B=(6,19)\text{ = x}2=6,y2=19 \end{gathered}`

Let the coordinate at R be

`R=(x,y)`

The ratio of the line segment given is

`AR\colon RB=2\colon5\text{ (m=2,n=5)}`

The formula to calculate the coordinate of a line segment in a given ratio is given below as

`(x,y)=((mx_2+nx_1)/(m+n)),((my_2+ny_1)/(m+n))`