Question

Find the coordinates of the point P that lies along the directed segment from A(1, 1) to B(7, 3) and partitions the segment in the ratio of 1 to 4. *

Answer 1

I think the answer is C

Answer 2

The calculated coordinates of the point at the partition are (2.2, 1.4)

How to determine the coordinates of the point at the partition

From the question, we have the following parameters that can be used in our computation:

A(1, 1) to B(7, 3)

And we have the partition to be

m : n = 1 : 4

The coordinate of the partition (P) is calculated as

P = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)

Substitute the known values in the above equation, so, we have the following representation

P = 1/(1 + 4) * (1 * 7 + 4 * 1, 1 * 3 + 4 * 1)

So, we have

P = 1/5 * (11, 7)

This gives

P = (2.2, 1.4)

Hence, the coordinates of the point at the partition are (2.2, 1.4)