Question

Given a line segment with endpoints A(16, 8) and B(1, 3) what are the coordinates of the

line segment partitioned two-fifths from A to B?

Answer 1

The line segment partitioned two-fifths from A to B is (10,6)

Explanation:

First point from A to B is (16,8)

than find the difference between A to B i.e B - A

(1,3)-(16,8) = (-15,-5)

To measure the (2/5) difference we will multiply (-15,-5) with (2/5) which is equal to (-6,-2)

Now Add the difference to the first coordinate (point A) gives

Point of division = (16,8)+(-6,-2)

Point of division = (16-6, 8-2)

Point of division = (10,6)