Question

What are the coordinates of the point on the directed line segment from (-8,8) to(7, – 7) that partitions the segment into a ratio of 1 to 4?

Answer 1

We have the following:

`\begin{gathered} x_1+(1)/(r+1)\cdot(x_2-x_1) \\ y_1+(1)/(r+1)\cdot(y_2-y_1) \end{gathered}`

replacing:

for x:

`\begin{gathered} x=-8_{}+(1)/(4+1)\cdot(7-(-8)) \\ x=-8+(1)/(5)\cdot(7+8)=-8+3=-5 \end{gathered}`

for y:

`\begin{gathered} y=8_{}+(1)/(4+1)\cdot(-7-(8)) \\ y=8+(1)/(5)\cdot(-788)=8-3=5 \end{gathered}`

The coordinates is: (-5, 5)