Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio.

A(9, 5), B(17, 13); 1 to 3
The coordinates of P are ( , )

Question

Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio.

A(9, 5), B(17, 13); 1 to 3
The coordinates of P are (  ,   )

decarr432 · Answer

https://app.geogebra.org/#geometry I used this website for all my problems like this hope it helps you :)

mathmale · Answer

I'd strongly suggest that you graph the two given points, name them A and B as indicated, and then draw a line segment connecting them.  You could 'eyeball' the drawing and make a quite good estimate regarding the coordinates of point P.

AP is apparently only 1/3 rd as long as is PB.     Let x = length of AP; then the length of PB is 3x.      Find the distance between A and B; divide that by  (3+1), or 4, to obtain the length of AP.  What is the length of PB?