Answer:
The coordinates of B are (7.67,12)
Step-by-step 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,
[tex]3 = \frac{2(- 4) + 3h}{3 + 2}[/tex]
⇒ 3h - 8 = 15
⇒ 3h = 23
⇒ h = 7.67
And, [tex]6 = \frac{2(- 3) + 3k}{2 + 3}[/tex]
⇒ 3k - 6 = 30
⇒ 3k = 36
⇒ k = 12
Therefore, the coordinates of B are (7.67,12) (Answer)
