Using the image below, find the y value for the point that divides the line segment XY into a ratio of 1.2
1 answer:
Answer: c) -0.3
<u>Step-by-step explanation:</u>
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
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