Question

A directed line segment begins at F(-8, -2), ends at H(6, 4), and is divided in the ratio 8 to 2 by G.

Answer 1

You are given a directed line segment that begins at F(-8, -2), ends at H(6, 4), and is divided in the ratio 8 to 2 by G. To find the coordinates of G, you shall draw your line segment with points at FGH respectively. You have to calculate the distance first before getting the location of G.

distance = √[(x₂-x₁)² + (y₂-y₁)²]
distance = √[(-8-6)² + (-2-4)²]
distance = √[(-14)² + (-6)²]
distance = √[196 + 36]
distance = √232
distance = 2√58

and then multiply it with 8/2 to get the the distance of G
2√58 * 8/2
8√58