Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Question

Chapter 1.5, Problem 23E

To determine

To find: the standard form of line equation.

Expert Solution & Answer

Answer to Problem 23E

−4x+9y+183=0

Explanation of Solution

Given information:

A line passes through (12,−15) and parallel to 4x−9y=−23 .

Calculation:

Convert the equation into slope intercept form as shown below.

4x−9y=−239y=4x+23y=49x+239

Since, slope of two parallel lines are always equal. So, the slope (m) of both the lines is 49 .

Put the coordinates and slope value in the slope intercept equation and solve as follows:

y=mx+b−15=(49)(12)+b−15=(489)+bb=−15−489=−1359−489=−1839

Equations for converting the slope and y-intercept into standard form as follows:

m=−AB and b=−CB49=−AB and −1839=−CB [Put values of m and b]−49=AB and 1839=CB A=−4, B=9 and C=183 [Simplify]

Substitute the value of A=−4,B=9 and C=183 in the standard form of line as shown below.

Ax+By+C=0−4x+9y+183=0

Thus, the standard form of line is −4x+9y+183=0 .

Chapter 1.5, Problem 22E

Chapter 1.5, Problem 24E

Chapter 1 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 1.1 - Prob. 1CFU Ch. 1.1 - Prob. 2CFU Ch. 1.1 - Prob. 3CFU Ch. 1.1 - Prob. 4CFU Ch. 1.1 - Prob. 5CFU Ch. 1.1 - Prob. 6CFU Ch. 1.1 - Prob. 7CFU Ch. 1.1 - Prob. 8CFU Ch. 1.1 - Prob. 9CFU Ch. 1.1 - Prob. 10CFU

Ch. 1.1 - Prob. 11CFU Ch. 1.1 - Prob. 12CFU Ch. 1.1 - Prob. 13CFU Ch. 1.1 - Prob. 14CFU Ch. 1.1 - Prob. 15CFU Ch. 1.1 - Prob. 16CFU Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - Prob. 51E Ch. 1.1 - Prob. 52E Ch. 1.1 - Prob. 53E Ch. 1.1 - Prob. 54E Ch. 1.1 - Prob. 55E Ch. 1.1 - Prob. 56E Ch. 1.1 - Prob. 57E Ch. 1.2 - Prob. 1GCE Ch. 1.2 - Prob. 2GCE Ch. 1.2 - Prob. 3GCE Ch. 1.2 - Prob. 4GCE Ch. 1.2 - Prob. 5GCE Ch. 1.2 - Prob. 1CFU Ch. 1.2 - Prob. 2CFU Ch. 1.2 - Prob. 3CFU Ch. 1.2 - Prob. 4CFU Ch. 1.2 - Prob. 5CFU Ch. 1.2 - Prob. 6CFU Ch. 1.2 - Prob. 7CFU Ch. 1.2 - Prob. 8CFU Ch. 1.2 - Prob. 9CFU Ch. 1.2 - Prob. 10CFU Ch. 1.2 - Prob. 11E Ch. 1.2 - Prob. 12E Ch. 1.2 - Prob. 13E Ch. 1.2 - Prob. 14E Ch. 1.2 - Prob. 15E Ch. 1.2 - Prob. 16E Ch. 1.2 - Prob. 17E Ch. 1.2 - Prob. 18E Ch. 1.2 - Prob. 19E Ch. 1.2 - Prob. 20E Ch. 1.2 - Prob. 21E Ch. 1.2 - Prob. 22E Ch. 1.2 - Prob. 23E Ch. 1.2 - Prob. 24E Ch. 1.2 - Prob. 25E Ch. 1.2 - Prob. 26E Ch. 1.2 - Prob. 27E Ch. 1.2 - Prob. 28E Ch. 1.2 - Prob. 29E Ch. 1.2 - Prob. 30E Ch. 1.2 - Prob. 31E Ch. 1.2 - Prob. 32E Ch. 1.2 - Prob. 33E Ch. 1.2 - Prob. 34E Ch. 1.2 - Prob. 35E Ch. 1.2 - Prob. 36E Ch. 1.2 - Prob. 37E Ch. 1.2 - Prob. 38E Ch. 1.2 - Prob. 39E Ch. 1.3 - Prob. 1CFU Ch. 1.3 - Prob. 2CFU Ch. 1.3 - Prob. 3CFU Ch. 1.3 - Prob. 4CFU Ch. 1.3 - Prob. 5CFU Ch. 1.3 - Prob. 6CFU Ch. 1.3 - Prob. 7CFU Ch. 1.3 - Prob. 8CFU Ch. 1.3 - Prob. 9CFU Ch. 1.3 - Prob. 10CFU Ch. 1.3 - Prob. 11CFU Ch. 1.3 - Prob. 12E Ch. 1.3 - Prob. 13E Ch. 1.3 - Prob. 14E Ch. 1.3 - Prob. 15E Ch. 1.3 - Prob. 16E Ch. 1.3 - Prob. 17E Ch. 1.3 - Prob. 18E Ch. 1.3 - Prob. 19E Ch. 1.3 - Prob. 20E Ch. 1.3 - Prob. 21E Ch. 1.3 - Prob. 22E Ch. 1.3 - Prob. 23E Ch. 1.3 - Prob. 24E Ch. 1.3 - Prob. 25E Ch. 1.3 - Prob. 26E Ch. 1.3 - Prob. 27E Ch. 1.3 - Prob. 28E Ch. 1.3 - Prob. 29E Ch. 1.3 - Prob. 30E Ch. 1.3 - Prob. 31E Ch. 1.3 - Prob. 32E Ch. 1.3 - Prob. 33E Ch. 1.3 - Prob. 34E Ch. 1.3 - Prob. 35E Ch. 1.3 - Prob. 36E Ch. 1.3 - Prob. 37E Ch. 1.3 - Prob. 38E Ch. 1.3 - Prob. 39E Ch. 1.3 - Prob. 40E Ch. 1.3 - Prob. 41E Ch. 1.3 - Prob. 42E Ch. 1.3 - Prob. 43E Ch. 1.3 - Prob. 44E Ch. 1.3 - Prob. 45E Ch. 1.3 - Prob. 46E Ch. 1.3B - Prob. 1GCE Ch. 1.3B - Prob. 2GCE Ch. 1.3B - Prob. 3GCE Ch. 1.4 - Prob. 1CFU Ch. 1.4 - Prob. 2CFU Ch. 1.4 - Prob. 3CFU Ch. 1.4 - Prob. 4CFU Ch. 1.4 - Prob. 5CFU Ch. 1.4 - Prob. 6CFU Ch. 1.4 - Prob. 7CFU Ch. 1.4 - Prob. 8CFU Ch. 1.4 - Prob. 9CFU Ch. 1.4 - Prob. 10CFU Ch. 1.4 - Prob. 11E Ch. 1.4 - Prob. 12E Ch. 1.4 - Prob. 13E Ch. 1.4 - Prob. 14E Ch. 1.4 - Prob. 15E Ch. 1.4 - Prob. 16E Ch. 1.4 - Prob. 17E Ch. 1.4 - Prob. 18E Ch. 1.4 - Prob. 19E Ch. 1.4 - Prob. 20E Ch. 1.4 - Prob. 21E Ch. 1.4 - Prob. 22E Ch. 1.4 - Prob. 23E Ch. 1.4 - Prob. 24E Ch. 1.4 - Prob. 25E Ch. 1.4 - Prob. 26E Ch. 1.4 - Prob. 27E Ch. 1.4 - Prob. 28E Ch. 1.4 - Prob. 29E Ch. 1.4 - Prob. 30E Ch. 1.4 - Prob. 31E Ch. 1.4 - Prob. 32E Ch. 1.4 - Prob. 33E Ch. 1.4 - Prob. 34E Ch. 1.4 - Prob. 35E Ch. 1.4 - Prob. 1MCQ Ch. 1.4 - Prob. 2MCQ Ch. 1.4 - Prob. 3MCQ Ch. 1.4 - Prob. 4MCQ Ch. 1.4 - Prob. 5MCQ Ch. 1.4 - Prob. 6MCQ Ch. 1.4 - Prob. 7MCQ Ch. 1.4 - Prob. 8MCQ Ch. 1.4 - Prob. 9MCQ Ch. 1.4 - Prob. 10MCQ Ch. 1.5 - Prob. 1CFU Ch. 1.5 - Prob. 2CFU Ch. 1.5 - Prob. 3CFU Ch. 1.5 - Prob. 4CFU Ch. 1.5 - Prob. 5CFU Ch. 1.5 - Prob. 6CFU Ch. 1.5 - Prob. 7CFU Ch. 1.5 - Prob. 8CFU Ch. 1.5 - Prob. 9CFU Ch. 1.5 - Prob. 10CFU Ch. 1.5 - Prob. 11CFU Ch. 1.5 - Prob. 12E Ch. 1.5 - Prob. 13E Ch. 1.5 - Prob. 14E Ch. 1.5 - Prob. 15E Ch. 1.5 - Prob. 16E Ch. 1.5 - Prob. 17E Ch. 1.5 - Prob. 18E Ch. 1.5 - Prob. 19E Ch. 1.5 - Prob. 20E Ch. 1.5 - Prob. 21E Ch. 1.5 - Prob. 22E Ch. 1.5 - Prob. 23E Ch. 1.5 - Prob. 24E Ch. 1.5 - Prob. 25E Ch. 1.5 - Prob. 26E Ch. 1.5 - Prob. 27E Ch. 1.5 - Prob. 28E Ch. 1.5 - Prob. 29E Ch. 1.5 - Prob. 30E Ch. 1.5 - Prob. 31E Ch. 1.5 - Prob. 32E Ch. 1.5 - Prob. 33E Ch. 1.5 - Prob. 34E Ch. 1.5 - Prob. 35E Ch. 1.5 - Prob. 36E Ch. 1.5 - Prob. 37E Ch. 1.5 - Prob. 38E Ch. 1.5 - Prob. 39E Ch. 1.5 - Prob. 40E Ch. 1.6 - Prob. 1CFU Ch. 1.6 - Prob. 2CFU Ch. 1.6 - Prob. 3CFU Ch. 1.6 - Prob. 4CFU Ch. 1.6 - Prob. 5CFU Ch. 1.6 - Prob. 6E Ch. 1.6 - Prob. 7E Ch. 1.6 - Prob. 8E Ch. 1.6 - Prob. 9E Ch. 1.6 - Prob. 10E Ch. 1.6 - Prob. 11E Ch. 1.6 - Prob. 12E Ch. 1.6 - Prob. 13E Ch. 1.6 - Prob. 14E Ch. 1.6 - Prob. 15E Ch. 1.6 - Prob. 16E Ch. 1.6 - Prob. 17E Ch. 1.6 - Prob. 18E Ch. 1.6 - Prob. 19E Ch. 1.7 - Prob. 1CFU Ch. 1.7 - Prob. 2CFU Ch. 1.7 - Prob. 3CFU Ch. 1.7 - Prob. 4CFU Ch. 1.7 - Prob. 5CFU Ch. 1.7 - Prob. 6CFU Ch. 1.7 - Prob. 7CFU Ch. 1.7 - Prob. 8CFU Ch. 1.7 - Prob. 9CFU Ch. 1.7 - Prob. 10CFU Ch. 1.7 - Prob. 11E Ch. 1.7 - Prob. 12E Ch. 1.7 - Prob. 13E Ch. 1.7 - Prob. 14E Ch. 1.7 - Prob. 15E Ch. 1.7 - Prob. 16E Ch. 1.7 - Prob. 17E Ch. 1.7 - Prob. 18E Ch. 1.7 - Prob. 19E Ch. 1.7 - Prob. 20E Ch. 1.7 - Prob. 21E Ch. 1.7 - Prob. 22E Ch. 1.7 - Prob. 23E Ch. 1.7 - Prob. 24E Ch. 1.7 - Prob. 25E Ch. 1.7 - Prob. 26E Ch. 1.7 - Prob. 27E Ch. 1.7 - Prob. 28E Ch. 1.7 - Prob. 29E Ch. 1.7 - Prob. 30E Ch. 1.7 - Prob. 31E Ch. 1.7 - Prob. 32E Ch. 1.7 - Prob. 33E Ch. 1.7 - Prob. 34E Ch. 1.7 - Prob. 35E Ch. 1.7 - Prob. 36E Ch. 1.7 - Prob. 37E Ch. 1.8 - Prob. 1CFU Ch. 1.8 - Prob. 2CFU Ch. 1.8 - Prob. 3CFU Ch. 1.8 - Prob. 4CFU Ch. 1.8 - Prob. 5CFU Ch. 1.8 - Prob. 6CFU Ch. 1.8 - Prob. 7CFU Ch. 1.8 - Prob. 8CFU Ch. 1.8 - Prob. 9E Ch. 1.8 - Prob. 10E Ch. 1.8 - Prob. 11E Ch. 1.8 - Prob. 12E Ch. 1.8 - Prob. 13E Ch. 1.8 - Prob. 14E Ch. 1.8 - Prob. 15E Ch. 1.8 - Prob. 16E Ch. 1.8 - 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Prob. 36SGA Ch. 1 - Prob. 37SGA Ch. 1 - Prob. 38SGA Ch. 1 - Prob. 39SGA Ch. 1 - Prob. 40SGA Ch. 1 - Prob. 41SGA Ch. 1 - Prob. 42SGA Ch. 1 - Prob. 43SGA Ch. 1 - Prob. 44SGA Ch. 1 - Prob. 45SGA Ch. 1 - Prob. 46SGA Ch. 1 - Prob. 47SGA Ch. 1 - Prob. 48SGA Ch. 1 - Prob. 49SGA Ch. 1 - Prob. 50SGA Ch. 1 - Prob. 51SGA Ch. 1 - Prob. 52SGA Ch. 1 - Prob. 53SGA Ch. 1 - Prob. 54SGA Ch. 1 - Prob. 55SGA Ch. 1 - Prob. 56SGA Ch. 1 - Prob. 57SGA Ch. 1 - Prob. 58SGA Ch. 1 - Prob. 59SGA Ch. 1 - Prob. 60SGA Ch. 1 - Prob. 61SGA Ch. 1 - Prob. 62SGA Ch. 1 - Prob. 63SGA Ch. 1 - Prob. 64SGA Ch. 1 - Prob. 65SGA Ch. 1 - Prob. 66SGA Ch. 1 - Prob. 67SGA Ch. 1 - Prob. 68SGA Ch. 1 - Prob. 69SGA Ch. 1 - Prob. 1SAP Ch. 1 - Prob. 2SAP Ch. 1 - Prob. 3SAP Ch. 1 - Prob. 4SAP Ch. 1 - Prob. 5SAP Ch. 1 - Prob. 6SAP Ch. 1 - Prob. 7SAP Ch. 1 - Prob. 8SAP Ch. 1 - Prob. 9SAP Ch. 1 - Prob. 10SAP

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