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: 86

Answer

$1.8$

Work Step by Step

In the case of two parallel lines we can choose any point along either one and apply the given formula, for the example I will pick point (0, 2.5) on line $3x - 4y = 10$. Now we transcribe the other equation so that it equals 0: $3x + 4y - 1 = 0$ You can read in the equation that: $A = 3$ $B = 4$ $C = -1$ You can read in the coordinates that: $x_{1} = 0$ $y_{1} = 2.5$ Enter this information in the given formula: $\frac{|Ax_{1} + By_{1} + C|}{\sqrt {A^{2} + B^{2}}}$ $\frac{|3 * 0 + 4 * 2.5 - 1|}{\sqrt {3^{2} + 4^{2}}} = 1.8$
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