Question

What are the coordinates of point P when it is 2/3 of the way along the line from A to B.

Given A(-3,-4) and B(3,5)

Answer 1

I also need help with this^

Answer 2

Hello,

P=(1,2)

Explanation:

`\overrightarrow{OP}=\overrightarrow{OA}+(2)/(3) *\overrightarrow{AB}\\\\=(-3,-4)+(2)/(3) *(3-(-3),5-(-4))\\\\=(-3,-4)+(2)/(3)*(6,9)\\\\=(-3,-4)+2*(2,3)\\\\=(-3,-4)+(4,6)\\\\\boxed{=(1,2)}\\`