Question

Using the image below, find the y value for the point that divides the line segment XY into a ratio of 1.2

Answer 1

Answer:  c) -0.3

Step-by-step explanation:

Consider the left point as (x₁, y₁) and the right point as (x₂, y₂)

then       (x₁, y₁) = (-6, -1)    &     (x₂, y₂) = (5, 1)

x₂ - x₁ = 5 - (-6) = 11

y₂ - y₁ = 1 - (-1)   = 2

ratio of a:b = a/(a+b)    

          1 : 2  = 1/(1 + 2)  = 1/3

x-coordinate: x₁ + ratio(x₂ - x₁) = -6 + (1/3) (11) = -7/3  

y-coordinate: y₁ + ratio(y₂ - y₁) = -1 + (1/3) (2) = -1/3