Question

Given that point P partitions AB into a ratio of 3:2, and A is found at (-4, -3) and P is found at (3, 6), find the coordinates for B.

Answer 1

The coordinates of B are (7.67,12)

Explanation:

Let the coordinates of B are (h,k).

Now, point P(3,6) partitions AB into a ratio of 3 : 2 and A is found at (-4,-3).

We have to find B(h,k).

Now, from the formula of coordinate geometry we have,

`3 = (2(- 4) + 3h)/(3 + 2)`

⇒ 3h - 8 = 15

⇒ 3h = 23

⇒ h = 7.67

And,
`6 = (2(- 3) + 3k)/(2 + 3)`

⇒ 3k - 6 = 30

⇒ 3k = 36

⇒ k = 12

Therefore, the coordinates of B are (7.67,12) (Answer)