Step-by-step explanation:
A (-3 , 4) and C ( 2 , -6 ) and ratio of AB : AC is 4:5
now , let AB be 4x and AC be 5x such that
AC = AB + BC
AC - AB = BC
5x - 4x = BC
x = BC
ratio of AB : BC = 4:1
by using section formula
( mx2 + nx1 / m+n , my2 + ny1 / m+n )
where m = 4 and n = 1
B = ( 4×2 + 1×-3 / 4+1. ,. 4× -6. + 1× 4 / 4+1 )
B = ( 8 -3 / 5. ,. -24 + 4 / 5)
B = ( 5/5. ,. -20/5 )
B = ( 1. , -4 )
