AriayahY660294 AriayahY660294
  • 03-11-2022
  • Mathematics
contestada

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=

Given the end points of A82 and B619 The segment AB is divided into the ratio atARRB in a 25 ratio Find the coordinates of point RR class=

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AmauriY594148 AmauriY594148
  • 03-11-2022

The given coordinates in the question are

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

Let the coordinate at R be

[tex]R=(x,y)[/tex]

The ratio of the line segment given is

[tex]AR\colon RB=2\colon5\text{ (m=2,n=5)}[/tex]

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

[tex](x,y)=(\frac{mx_2+nx_1}{m+n}),(\frac{my_2+ny_1}{m+n})[/tex][tex]undefined[/tex]

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