Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 6 - Analytic Trigonometry - Cumulative Review - Page 529: 2

Answer

$y=-x+3$ $6\sqrt 2$ $(1,2)$

Work Step by Step

1. Find the slope $m=\frac{-1-5}{4+2}=-1$, thus the equation is $y+1=-(x-4)$ or $y=-x+3$ 2. The distance between the two points $d=\sqrt {(4+2)^2+(-1-5)^2}=\sqrt {72}=6\sqrt 2$ 3. We can find the midpoint $(\frac{4-2}{2},\frac{5-1}{2})$ or $(1,2)$
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