Question

Point E is located at (-1,6) and point F is located at (3,9). What are the coordinates of point that partitions the directed line segment EF in a 3 : 2 ratio?​

Answer 1

(7/5, 39/5)

Explanation:

you could use this formula:

(m₁x₂ + m₂x₁ / m₂+m₁ , m₂y₂ + m₂y₁ / m₂+m₁)

where m₁ = 3 (from the ratio)

m₂ = 2 (from the ratio)

x₁ = -1

x₂ = 3

y₁ = 6

y₂ = 9

= [3(3) + 2(-1) / (3+2)], [3(9) + 2(6) / (3+2)]

= (9-2) / 5, (27+12) / 5

= (7/5, 39/5)