Explanation Given Information: The provided equations of line are, 1 2 x + 3 4 y = 6 and − 3 2 x + y = 4 Explanation: Consider the provided equations of lines, 1 2 x + 3 4 y = 6 …… (1) − 3 2 x + y = 4 …… (2) Now, the slope-intercept form of line is, y = m x + b Where m is slope and b is y intercept. Now, convert the equation (1) into slope intercept form by adding − 1 2 x to both sides as, 1 2 x + 3 4 y − 1 2 x = 6 − 1 2 x 3 4 y = − 1 2 x + 6 Multiply both sides by 4 3 to get, y = − 2 3 x + 8 Thus, the slope is − 2 3 and the y intercept is ( 0 , 8 ) . Now, convert the equation (2) into slope intercept form by adding 3 2 x to both sides to get, − 3 2 x + 3 2 x + y = 4 + 3 2 x y = 3 2 x + 4 Thus, the slope is 3 2 and y intercept is ( 0 , 4 ) . Now, obtain the product of slopes of both the lines as, m 1 m 2 = − 2 3 ⋅ 3 2 = − 1 Since, the product of slopes is − 1 , so the lines are perpendicular. The following table represents the coordinates of the equation 1 2 x + 3 4 y = 6

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Question

Chapter 9.6, Problem 24ES

To determine

Whether the graphs of the equations 12x+34y=6 and −32x+y=4 are perpendicular lines.

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Chapter 9.6, Problem 23ES

Chapter 9.6, Problem 25ES

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Chapter 9 Solutions

Developmental Mathematics (9th Edition)

Ch. 9.1 - Objective 8.1a: Determine whether a given number...Ch. 9.1 - Prob. 2SR Ch. 9.1 - Prob. 1DE Ch. 9.1 - Prob. 2DE Ch. 9.1 - Prob. 3DE Ch. 9.1 - Prob. 4DE Ch. 9.1 - Prob. 5DE Ch. 9.1 - Prob. 6DE Ch. 9.1 - Prob. 7DE Ch. 9.1 - Prob. 8DE

Ch. 9.1 - Prob. 9DE Ch. 9.1 - Prob. 10DE Ch. 9.1 - Prob. 11DE Ch. 9.1 - Prob. 12DE Ch. 9.1 - Prob. 13DE Ch. 9.1 - Prob. 14DE Ch. 9.1 - Prob. 15DE Ch. 9.1 - Prob. 16DE Ch. 9.1 - Prob. 17DE Ch. 9.1 - Prob. 18DE Ch. 9.1 - Prob. 19DE Ch. 9.1 - Prob. 20DE Ch. 9.1 - Prob. 1CCE1 Ch. 9.1 - Prob. 21DE Ch. 9.1 - Prob. 22DE Ch. 9.1 - Prob. 23DE Ch. 9.1 - Prob. 24DE Ch. 9.1 - Prob. 25DE Ch. 9.1 - Prob. 26DE Ch. 9.1 - Prob. 27DE Ch. 9.1 - Prob. 28DE Ch. 9.1 - Prob. 29DE Ch. 9.1 - Prob. 30DE Ch. 9.1 - 31. Milk Consumption. Milk consumption per capita...Ch. 9.1 - Prob. 1CCE2 Ch. 9.1 - Prob. 2CCE2 Ch. 9.1 - Prob. 3CCE2 Ch. 9.1 - Prob. 4CCE2 Ch. 9.1 - Prob. 1RC Ch. 9.1 - Prob. 2RC Ch. 9.1 - Prob. 3RC Ch. 9.1 - Prob. 4RC Ch. 9.1 - Prob. 1ES Ch. 9.1 - Prob. 2ES Ch. 9.1 - Prob. 3ES Ch. 9.1 - Prob. 4ES Ch. 9.1 - Prob. 5ES Ch. 9.1 - Prob. 6ES Ch. 9.1 - Prob. 7ES Ch. 9.1 - Prob. 8ES Ch. 9.1 - Prob. 9ES Ch. 9.1 - Prob. 10ES Ch. 9.1 - Prob. 11ES Ch. 9.1 - Prob. 12ES Ch. 9.1 - Prob. 13ES Ch. 9.1 - Prob. 14ES Ch. 9.1 - Prob. 15ES Ch. 9.1 - Prob. 16ES Ch. 9.1 - Prob. 17ES Ch. 9.1 - Prob. 18ES Ch. 9.1 - Prob. 19ES Ch. 9.1 - Prob. 20ES Ch. 9.1 - Prob. 21ES Ch. 9.1 - Prob. 22ES Ch. 9.1 - Prob. 23ES Ch. 9.1 - Prob. 24ES Ch. 9.1 - Prob. 25ES Ch. 9.1 - Prob. 26ES Ch. 9.1 - Prob. 27ES Ch. 9.1 - Prob. 28ES Ch. 9.1 - Prob. 29ES Ch. 9.1 - Prob. 30ES Ch. 9.1 - Prob. 31ES Ch. 9.1 - Prob. 32ES Ch. 9.1 - Prob. 33ES Ch. 9.1 - Prob. 34ES Ch. 9.1 - Prob. 35ES Ch. 9.1 - Prob. 36ES Ch. 9.1 - Prob. 37ES Ch. 9.1 - Prob. 38ES Ch. 9.1 - Prob. 39ES Ch. 9.1 - 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Prob. 2CCE1 Ch. 9.2 - Prob. 3CCE1 Ch. 9.2 - Prob. 4CCE1 Ch. 9.2 - Prob. 5CCE1 Ch. 9.2 - Prob. 6CCE1 Ch. 9.2 - Prob. 6DE Ch. 9.2 - Prob. 7DE Ch. 9.2 - Prob. 8DE Ch. 9.2 - Prob. 9DE Ch. 9.2 - Prob. 1VFS Ch. 9.2 - Prob. 2VFS Ch. 9.2 - Prob. 3VFS Ch. 9.2 - Prob. 4VFS Ch. 9.2 - Prob. 5VFS Ch. 9.2 - Prob. 6VFS Ch. 9.2 - Prob. 7VFS Ch. 9.2 - Prob. 8VFS Ch. 9.2 - Prob. 9VFS Ch. 9.2 - Prob. 10VFS Ch. 9.2 - Prob. 1RC Ch. 9.2 - Prob. 2RC Ch. 9.2 - Prob. 3RC Ch. 9.2 - Prob. 4RC Ch. 9.2 - Prob. 5RC Ch. 9.2 - Prob. 6RC Ch. 9.2 - Prob. 1ES Ch. 9.2 - Prob. 2ES Ch. 9.2 - Prob. 3ES Ch. 9.2 - Prob. 4ES Ch. 9.2 - Prob. 5ES Ch. 9.2 - Prob. 6ES Ch. 9.2 - Prob. 7ES Ch. 9.2 - Prob. 8ES Ch. 9.2 - Prob. 9ES Ch. 9.2 - Prob. 10ES Ch. 9.2 - Prob. 11ES Ch. 9.2 - Prob. 12ES Ch. 9.2 - Prob. 13ES Ch. 9.2 - Prob. 14ES Ch. 9.2 - Prob. 15ES Ch. 9.2 - Prob. 16ES Ch. 9.2 - Prob. 17ES Ch. 9.2 - Prob. 18ES Ch. 9.2 - Prob. 19ES Ch. 9.2 - Prob. 20ES Ch. 9.2 - Prob. 21ES Ch. 9.2 - Prob. 22ES Ch. 9.2 - Prob. 23ES Ch. 9.2 - Prob. 24ES Ch. 9.2 - 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Prob. 32UTDW Ch. 9.4 - Prob. 33UTDW Ch. 9.5 - 1. 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Prob. 39ES Ch. 9.5 - Prob. 40ES Ch. 9.5 - Prob. 41ES Ch. 9.5 - Prob. 42ES Ch. 9.6 - Find the slope, if it exists, of each line....Ch. 9.6 - Prob. 2SR Ch. 9.6 - Prob. 1DE Ch. 9.6 - Prob. 2DE Ch. 9.6 - Prob. 3DE Ch. 9.6 - Prob. 4DE Ch. 9.6 - Prob. 1CCE1 Ch. 9.6 - The graphs of two of the equations listed below...Ch. 9.6 - Prob. 2RC Ch. 9.6 - Prob. 1ES Ch. 9.6 - Prob. 2ES Ch. 9.6 - Prob. 3ES Ch. 9.6 - Prob. 4ES Ch. 9.6 - Prob. 5ES Ch. 9.6 - Prob. 6ES Ch. 9.6 - Prob. 7ES Ch. 9.6 - Prob. 8ES Ch. 9.6 - Prob. 9ES Ch. 9.6 - Prob. 10ES Ch. 9.6 - Prob. 11ES Ch. 9.6 - Prob. 12ES Ch. 9.6 - Prob. 13ES Ch. 9.6 - Prob. 14ES Ch. 9.6 - Prob. 15ES Ch. 9.6 - Prob. 16ES Ch. 9.6 - Prob. 17ES Ch. 9.6 - Prob. 18ES Ch. 9.6 - Prob. 19ES Ch. 9.6 - Prob. 20ES Ch. 9.6 - Prob. 21ES Ch. 9.6 - Prob. 22ES Ch. 9.6 - Prob. 23ES Ch. 9.6 - Prob. 24ES Ch. 9.6 - Prob. 25ES Ch. 9.6 - Prob. 26ES Ch. 9.6 - Prob. 27ES Ch. 9.6 - Prob. 28ES Ch. 9.6 - Prob. 29ES Ch. 9.6 - Prob. 30ES Ch. 9.6 - Prob. 31ES Ch. 9.6 - Prob. 32ES Ch. 9.6 - Prob. 33ES Ch. 9.6 - Prob. 34ES Ch. 9.6 - Prob. 35ES Ch. 9.6 - Prob. 36ES Ch. 9.6 - Prob. 37ES Ch. 9.6 - Prob. 38ES Ch. 9.6 - Prob. 39ES Ch. 9.6 - Prob. 40ES Ch. 9.6 - Prob. 41ES Ch. 9.6 - Prob. 42ES Ch. 9.6 - Prob. 43ES Ch. 9.6 - Prob. 44ES Ch. 9.6 - Prob. 45ES Ch. 9.6 - Prob. 46ES Ch. 9.7 - Objective 8.7a: Determine whether a given number...Ch. 9.7 - Prob. 2SR Ch. 9.7 - Prob. 1DE Ch. 9.7 - Prob. 2DE Ch. 9.7 - Prob. 3DE Ch. 9.7 - Prob. 4DE Ch. 9.7 - Prob. 5DE Ch. 9.7 - Prob. 6DE Ch. 9.7 - Prob. 1CCE1 Ch. 9.7 - Prob. 7DE Ch. 9.7 - Prob. 8DE Ch. 9.7 - Prob. 1VFS Ch. 9.7 - Prob. 2VFS Ch. 9.7 - Prob. 3VFS Ch. 9.7 - Prob. 4VFS Ch. 9.7 - Prob. 5VFS Ch. 9.7 - Prob. 6VFS Ch. 9.7 - Prob. 7VFS Ch. 9.7 - Prob. 8VFS Ch. 9.7 - Prob. 9VFS Ch. 9.7 - Prob. 10VFS Ch. 9.7 - Prob. 1RC Ch. 9.7 - Prob. 2RC Ch. 9.7 - Prob. 3RC Ch. 9.7 - Prob. 4RC Ch. 9.7 - Prob. 5RC Ch. 9.7 - Prob. 6RC Ch. 9.7 - Prob. 7RC Ch. 9.7 - Prob. 8RC Ch. 9.7 - The process for graphing the inequality is...Ch. 9.7 - Prob. 1ES Ch. 9.7 - 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Whether the graphs of the equations 1 2 x + 3 4 y = 6 and − 3 2 x + y = 4 are perpendicular lines.

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Whether the graphs of the equations 12x+34y=6 and −32x+y=4 are perpendicular lines.

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