Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 3.4, Problem 29WE
To determine

To calculate:The equation of a line in standard form containing the given points.

Expert Solution & Answer
Check Mark

Answer to Problem 29WE

The equation of the line in standard form is 6x+6y=7 .

Explanation of Solution

Given information:The 2 points through which the line passes are a(23,12)&b(16,1) .

Formula used:

Two-point form of line is:

  (yy1)=(y2y1)(x2x1)(xx1),wherea(x1,y1)&b(x2,y2)arethetwopointsontheline.

The standard form of the line is Ax+By=C .

Calculation:

Since a(23,12)&b(16,1) are the two points through which the line passes, then the two point form of the line will be

  (yy1)=(y2y1)(x2x1)(xx1),where(x1,y1)=(23,12)&(x2,y2)=(16,1)(y(12))=((1)(12))(1623)(x23)(y+12)=(1+12)(146)(x23)(2y+12)=(12)(12)(3x23)(2y+12)=(3x23)3(2y+1)=2(3x2)6y+3=6x46x+6y=7

Hence the equation of the line in standard form is 6x+6y=7 .

Chapter 3 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 3.1 - Prob. 11OECh. 3.1 - Prob. 1WECh. 3.1 - Prob. 2WECh. 3.1 - Prob. 3WECh. 3.1 - Prob. 4WECh. 3.1 - Prob. 5WECh. 3.1 - Prob. 6WECh. 3.1 - Prob. 7WECh. 3.1 - Prob. 8WECh. 3.1 - Prob. 9WECh. 3.1 - Prob. 10WECh. 3.1 - Prob. 11WECh. 3.1 - Prob. 12WECh. 3.1 - Prob. 13WECh. 3.1 - Prob. 14WECh. 3.1 - Prob. 15WECh. 3.1 - Prob. 16WECh. 3.1 - Prob. 17WECh. 3.1 - Prob. 18WECh. 3.1 - Prob. 19WECh. 3.1 - Prob. 20WECh. 3.1 - Prob. 21WECh. 3.1 - Prob. 22WECh. 3.1 - Prob. 23WECh. 3.1 - Prob. 24WECh. 3.1 - Prob. 25WECh. 3.1 - Prob. 26WECh. 3.1 - Prob. 27WECh. 3.1 - Prob. 28WECh. 3.1 - Prob. 29WECh. 3.1 - Prob. 30WECh. 3.1 - Prob. 31WECh. 3.1 - Prob. 32WECh. 3.1 - Prob. 33WECh. 3.1 - Prob. 34WECh. 3.1 - Prob. 35WECh. 3.1 - Prob. 36WECh. 3.1 - Prob. 37WECh. 3.1 - Prob. 38WECh. 3.1 - Prob. 39WECh. 3.1 - Prob. 40WECh. 3.1 - Prob. 1PCh. 3.1 - Prob. 2PCh. 3.1 - Prob. 3PCh. 3.1 - Prob. 4PCh. 3.1 - Prob. 5PCh. 3.1 - Prob. 6PCh. 3.1 - Prob. 7PCh. 3.1 - Prob. 8PCh. 3.1 - Prob. 9PCh. 3.1 - Prob. 10PCh. 3.1 - 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Prob. 14PCh. 3.6 - Prob. 15PCh. 3.6 - Prob. 16PCh. 3.6 - Prob. 17PCh. 3.6 - Prob. 18PCh. 3.6 - Prob. 19PCh. 3.6 - Prob. 20PCh. 3.7 - Prob. 1OECh. 3.7 - Prob. 2OECh. 3.7 - Prob. 3OECh. 3.7 - Prob. 4OECh. 3.7 - Prob. 5OECh. 3.7 - Prob. 6OECh. 3.7 - Prob. 7OECh. 3.7 - Prob. 8OECh. 3.7 - Prob. 9OECh. 3.7 - Prob. 10OECh. 3.7 - Prob. 11OECh. 3.7 - Prob. 12OECh. 3.7 - Prob. 13OECh. 3.7 - Prob. 14OECh. 3.7 - Prob. 15OECh. 3.7 - Prob. 16OECh. 3.7 - Prob. 1WECh. 3.7 - Prob. 2WECh. 3.7 - Prob. 3WECh. 3.7 - Prob. 4WECh. 3.7 - Prob. 5WECh. 3.7 - Prob. 6WECh. 3.7 - Prob. 7WECh. 3.7 - Prob. 8WECh. 3.7 - Prob. 9WECh. 3.7 - Prob. 10WECh. 3.7 - Prob. 11WECh. 3.7 - Prob. 12WECh. 3.7 - Prob. 13WECh. 3.7 - Prob. 14WECh. 3.7 - Prob. 15WECh. 3.7 - Prob. 16WECh. 3.7 - Prob. 17WECh. 3.7 - Prob. 18WECh. 3.7 - Prob. 19WECh. 3.7 - Prob. 20WECh. 3.7 - Prob. 21WECh. 3.7 - Prob. 22WECh. 3.7 - Prob. 23WECh. 3.7 - Prob. 24WECh. 3.7 - Prob. 25WECh. 3.7 - Prob. 26WECh. 3.7 - Prob. 27WECh. 3.7 - Prob. 28WECh. 3.7 - Prob. 29WECh. 3.7 - 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