SOLUTION: Another problem that I don't know where to start: Given the points P1 (-4,-1) and P2 (8,3). Find the coordinates of the point R(x,y) on P1P2 (this has a line over it and the 1 a

Question 1063647: Another problem that I don't know where to start:
Given the points P1 (-4,-1) and P2 (8,3). Find the coordinates of the point R(x,y) on P1P2 (this has a line over it and the 1 and 2 are subscript) so that the ratio P1R : RP2 = 3:1 (1 and 2 are subscript).
Found 2 solutions by Fombitz, KMST:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Find the x distance from to .

Divide this up into 4 equal sections.

So then the x distance from to ,

Similarly for the y distance,
Find the y distance from to .

Divide this up into 4 equal sections.

So then the y distance from to ,

So the coordinates of are (5,2).

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The line over means
that they are talking about the line segment
joining those two points.

You are looking for the coordinates of a point ,
on that line segment that meets the requirement that
.
In other words,
the distance from to is times
the distance from to .
Dividing the original segment into
equal pieces, is
the"dividing point" closest to .
In this case, if is the midpoint of segment P1P2,
is the midpoint of segment MP2.
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