Explanation Result used: The formula for the slope is computed by the inclination angle m = tan α , where α is an inclination angle. Calculation: The given line equations are x + y = 3 and 2 x − 5 y = 4 . Rewrite the equation x + y = 3 as follows. x + y = 3 y = − x + 3 Hence, the slope of the equation x + y = 3 is m 1 = − 1 . Rewrite the equation 2 x − 5 y = 4 as follows. 2 x − 5 y = 4 5 y = 2 x + 4 y = 2 5 x + 4 5 Hence, the slope of the equation 2 x − 5 y = 4 is m 2 = 2 5 . Sketch the graph of the lines x + y = 3 and 2 x − 5 y = 4 with slopes as shown below in Figure 1. From Figure 1, it is observed that the slopes of the lines are m 1 = − 1 and m 2 = 2 5

Basic Technical Mathematics with Calculus (11th Edition)

11th Edition

ISBN: 9780134437736

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 21.2, Problem 42E

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The acute angle between the lines x+y=3 and 2x−5y=4.

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Chapter 21.2, Problem 41E

Chapter 21.2, Problem 43E

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Chapter 21 Solutions

Basic Technical Mathematics with Calculus (11th Edition)

Ch. 21.1 - Find the distance between (−2, 6) and (5, −3). Ch. 21.1 - Prob. 2PE Ch. 21.1 - Prob. 1E Ch. 21.1 - Prob. 2E Ch. 21.1 - Prob. 5E Ch. 21.1 - In Exercises 5–14, find the distance between the...Ch. 21.1 - Prob. 7E Ch. 21.1 - Prob. 8E Ch. 21.1 - Prob. 9E Ch. 21.1 - Prob. 10E

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The acute angle between the lines x + y = 3 and 2 x − 5 y = 4 .

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Chapter 21 Solutions