A(-3, -2) and b(6, 1), determine the coordinates of point p on directed line segment stack a b with bar on top that partitions stack a b with bar on top in a ratio of 2: 1

P(3,0)

Step-by-step explanation:

We want to find the coordinates of P(x,y), that partitions in the ration m:n=2:1.

where and .

This is given by:

We substitute the values to get:

The coordinates are (3,0)

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have