Answer:
(- 1, - 3 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) partitioned in the ratio m : n
Then using the Section formula the coordinates of the point are
( [tex]\frac{nx_{1}+mx_{2} }{m+n}[/tex], [tex]\frac{ny_{1}+my_{2} }{m+n}[/tex] )
Here (x₁, y₁ ) = (- 4, - 9), (x₂, y₂ ) = (1, 1) and m : n = 3 : 2 , then
( [tex]\frac{2(-4)+3(1)}{3+2}[/tex] , [tex]\frac{2(-9)+3(1)}{3+2}[/tex] )
= ( [tex]\frac{x}{y} \frac{-8+3}{5}[/tex], [tex]\frac{-18+3}{5}[/tex] )
= ( [tex]\frac{-5}{5}[/tex], [tex]\frac{-15}{5}[/tex] )
= ( - 1, - 3 )
Answer:
(-1 , -3)
Step-by-step explanation
For unknown reason, I can't save the explanation in this space. It's detailed in the attachment
