Answer:
T (6, 5 )
Step-by-step explanation:
Using the section formula
If (x₁, y₁ ) and (x₂, y₂ ) are divided in the ratio m : n , then
( [tex]\frac{nx_{1}+mx_{2} }{m+n}[/tex] , [tex]\frac{ny_{1}+my_{2} }{m+n}[/tex] ) are the coordinates of the internal point
Here (x₁, y₁ ) = A (- 4, 10 ) , (x₂, y₂ ) = B (10, 3) , m : n = 5 : 2
T = ([tex]\frac{2(-4)+5(10)}{5+2}[/tex] , [tex]\frac{2(10)+5(3)}{5+2}[/tex] )
= [tex]\frac{-8+50}{7}[/tex] , [tex]\frac{20+15}{7}[/tex] )
= [tex]\frac{42}{7}[/tex] , [tex]\frac{35}{7}[/tex] )
= (6, 5 )
