Answer:
(2, 1 )
Step-by-step explanation:
Using the Section formula
For endpoints (x₁, y₁ ) and (x₂, y₂ ) partitioned in the ratio m : n
Then coordinates of point are
[ [tex]\frac{mx_{2}+nx_{1} }{m+n}[/tex] , [tex]\frac{my_{2}+ny_{1} }{m+n}[/tex] ]
Here m = 5, n = 2, (x₁, y₁ ) = (- 3, - 9), (x₂, y₂ ) = (4, 5), thus partitioned point
= [ [tex]\frac{5(4)+2(-3)}{5+2}[/tex] , [tex]\frac{5(5)+2(-9)}{5+2}[/tex] ]
= [ [tex]\frac{20-6}{7}[/tex] , [tex]\frac{25-18}{7}[/tex] ]
= ( [tex]\frac{14}{7}[/tex] , [tex]\frac{7}{7}[/tex] )
= (2, 1 )
