Given the line segment Ab with endpoints A(-9,2) and B(12,9), what are the coordinates of point C that is partitioned one-third from A to B?

Question

asked May 24, 2019 117k views

1 Answer

Adamsor · Answer 1 · 2019-05-28T06:16:29+0000

Answer: (-2,
)

Explanation:

⇒ First, evaluate the x-coordinate of C:

The x-distance from A to B is 12 - (-9) = 21.
(1)/(3) of 21 is 7

The x-coordinate of A (-9) plus one-third the distance to B (7) = -2

⇒ Next, evaluate the y-coordinate of C:

The y-distance from A to B is 9 - 2 = 7.
(1)/(3) of 7 is
(7)/(3)

The y-coordinate of A (2) plus one-third the distance to B (
(7)/(3) ) =
(13)/(3)