Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.6 - The Rectangular Coordinate System and Graph - Exercises - Page 59: 53

Answer

($2x_{m}$ - $x_{1}$ , $2y_{m}$ - $y_{1}$)

Work Step by Step

Use the midpoint formula and equate the x--coordinates and y-coordinates respectively and solve for $x_{2}$ and $y_{2}$. ($x_{m},y_{m}$) = $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$ $x_{2}$ = $2x_{m}$ - $x_{1}$ $y_{2}$= $2y_{m}$ - $y_{1}$
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