Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter P - P.2 - Linear Models and Rates of Change - Exercises - Page 18: 84

Answer

$1.4$

Work Step by Step

First you have to transcribe the formula so that it equals 0: $4x + 3y = 10$ $4x + 3y - 10 = 0$ You can read in the formula that: $A = 4$ $B = 3$ $C = -10$ You can read in the coordinates that: $x_{1} = 2$ $y_{1} = 3$ Enter this information in the given formula: $\frac{|Ax_{1} + By_{1} + C|}{\sqrt {A^{2} + B^{2}}}$ $\frac{|4 * 2 + 3 * 3 - 10|}{\sqrt {4^{2} + 3^{2}}} = 1.4$
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