Question

Given AC with A (4,-7) and (-4,11) if point B divides AC five-sixths of the way from A to C find the coordinates of B

Answer 1

Answer:

B: (-8/3 , 8)

Step-by-step explanation:

A (x₁,y₁) (4,-7) and C (x₂,y₂) (-4,11), B (x,y)

AB (a):BC (b) = 5:1

x = (bx₁ + ax₂) / (a+b) = (1*4+5*-4) / (5+1) = -16/6 = - 8/3

y = (by₁ + ay₂) / (a+b) = (1*-7+5*11) / (5+1) = 48/6 = 8

B: (-8/3 , 8)