Question

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

A: - 0.7
B: - 2.3
C: - 0.3
D: - 0.2

Answer 1

C

Explanation:

took the test

Answer 2

Answer: c) -0.3

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