Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.1 Rectangular Coordinates and Graphs - 2.1 Exercises - Page 194: 64

Answer

$(\frac{14}{3},\frac{19}{3})$ and $(\frac{28}{3},\frac{38}{3})$

Work Step by Step

Step 1. Given the endpoints $(4,5)$ and $(10,14)$, the first point which is at $1/3$ of the total distance from the start can be found as: $(\frac{4+10}{3},\frac{5+14}{3})$ which gives $(\frac{14}{3},\frac{19}{3})$ Step 2. the second point which is at $2/3$ of the total distance from the start can be found as: $(\frac{2(4+10)}{3},\frac{2(5+14)}{3})$ which gives $(\frac{28}{3},\frac{38}{3})$
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