Problem preview

G-GPE.6 Warmup M2-044-A08-V02

Find the point that partitions a directed segment between two points in a given ratio.

Find the point that is a given fraction of the way from one endpoint to another

Problem

Use vector form to find the point that is \(3/4\) of the way from \((-2,4)\) to \((6,0)\).

Answer choices

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(−2, 4) + (3/4)⟨8, 4⟩ = (5, 7)

(−2, 4) + (3/4)⟨8, −4⟩ = (6, −3)

(−2, 4) + (3/4)⟨8, −4⟩ = (4, 1)

(−2, 4) + (1/2)⟨8, −4⟩ = (2, 1)

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Curriculum context

Course: Math II
Standard: G-GPE.6
Category: Geometry
Domain: Expressing Geometric Properties with Equations
Objective: Find the point that partitions a directed segment between two points in a given ratio.
Problem type: Find the point that is a given fraction of the way from one endpoint to another