Question

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?

Answer 1

Answer: (-2, $\frac{13}{3}$)

Step-by-step explanation:

⇒ First, evaluate the x-coordinate of C:

The x-distance from A to B is 12 - (-9) = 21.  $\frac{1}{3}$ 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.  $\frac{1}{3}$ of 7 is $\frac{7}{3}$

The y-coordinate of A (2) plus one-third the distance to B ($\frac{7}{3}$) = $\frac{13}{3}$