Answer:

Step-by-step explanation:
If coordinates of points are
and
and you need to divide the segment AB in the ratio m:n, where
, then coordinates of point P which partitions segment AB in given ratio are:

1. Here,
which means
, so we get the following coordinates:

We got that point P has coordinates P(3,0).
2. Here,
which means
so, we get the following coordinates:

We got that point P has coordinates
.
3. Here,
which means
, so we get the following coordinates:

We got that point P has coordinates
.
4. Here,
which means
so we get the following coordinates:

We got that point P has coordinates P(-3,-6).