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 9ST
To determine

To find: An equation in standard form of the line passes through (3,2) and parallel to the line 2xy=1 .

Expert Solution & Answer
Check Mark

Answer to Problem 9ST

The equation of line is x+y=5 .

Explanation of Solution

Given information: The line passes through (3,2) and parallel to the line 2xy=1 .

Calculation: The line passes through (3,2) and parallel to the line 2xy=1 .

Slope intercept form is:

  y=mx+c(i) .

Write the equation of line in the form of y=mx+c we get:

  2xy=1y=2x+1y=21x+11y=x1(ii)

Compare (i)and(ii) we get:

  m=1

The slope of line is 1 .

Both lines are parallel. Therefore slope of both lines are equal.

Equation of line is:

  yy1=m(xx1) .

Put the value of x1=3,y1=2andm=1 in yy1=m(xx1) we get:

  y2=1(x+3)y2=x+3x+y=3+2x+y=5

Therefore the equation of line is x+y=5 .

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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Publisher:PEARSON
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Algebra
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Author:Joseph Gallian
Publisher:Cengage Learning
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Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
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Algebra And Trigonometry (11th Edition)
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ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
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Introduction to Linear Algebra, Fifth Edition
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ISBN:9780980232776
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Publisher:Wellesley-Cambridge Press
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Points, Lines, Planes, Segments, & Rays - Collinear vs Coplanar Points - Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=dDWjhRfBsKM;License: Standard YouTube License, CC-BY
Naming Points, Lines, and Planes; Author: Florida PASS Program;https://www.youtube.com/watch?v=F-LxiLSSaLg;License: Standard YouTube License, CC-BY