Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

4th Edition

ISBN: 9780133178579

Author: Ross L. Finney

Publisher: PEARSON

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Question

Chapter 1, Problem 8RE

To determine

To find: The equation of line that passes through (3,1) and parallel to a given line.

Expert Solution & Answer

Answer to Problem 8RE

The required equation of specified line is y=2x−5 .

Explanation of Solution

Given information: The point is (3,1) and the parallel line is 2x−y=−2 .

Formula used: The point-slope form an equation of line is:

y−y1=m(x−x1) ...... (1)

Calculation:

Rewrite the given equation.

2x−y=−2y=2x+2

Compare the given equation with standard equation of line y=mx+b .

m=2

Substitute 3 for x1 , 1 for y1 , and 2 for m in the equation (1).

y−1=2(x−3)y−1=2x−6y=2x−6+1y=2x−5

Therefore, the equation of specified line is y=2x−5 .

Chapter 1, Problem 7RE

Chapter 1, Problem 9RE

Chapter 1 Solutions

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

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

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The equation of line that passes through ( 3 , 1 ) and parallel to a given line.

Concept explainers

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To find: The equation of line that passes through (3,1) and parallel to a given line.

Answer to Problem 8RE

Explanation of Solution

Chapter 1 Solutions

Additional Math Textbook Solutions