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?

(-2, )

Step-by-step explanation:

⇒ First, evaluate the x-coordinate of C:

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

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

5.5

step-by-step explanation:

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