Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 2 - Section 2.1 - Linear Equations in Two Variables - 2.1 Exercises - Page 146: 73

Answer

$\displaystyle (1,1)$

Work Step by Step

To find the midpoint between points $(x_1,y_1)$ and $(x_2,y_2)$, we use the midpoint formula: $\displaystyle Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$ We use the points $(\frac{1}{2},\frac{1}{3})$ and $(\frac{3}{2},\frac{5}{3})$: $\displaystyle Midpoint=(\frac{1/2+3/2}{2},\frac{1/3+5/3}{2})$ $\displaystyle =(\frac{4/2}{2},\frac{6/3}{2})$ $\displaystyle =(\frac{2}{2},\frac{2}{2})$ $\displaystyle =(1,1)$
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