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 9RE

To determine

To find: The equation of line that passes through (4,−12) and parallel to a given line.

Expert Solution & Answer

Answer to Problem 9RE

The required equation of specified line is y=−43x−203 .

Explanation of Solution

Given information: The point is (4,−12) and the parallel line is 4x+3y=12 .

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

y−y1=m(x−x1) ...... (1)

Calculation:

Rearrange the given equation.

4x+3y=123y=12−4xy=−43x+123y=−43x+4

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

m=−43

Substitute 4 for x1 , −12 for y1 , and −43 for m in the equation (1).

y−(−12)=−43 (x−4)y+12=−43x+163y=−43x−203

Therefore, the required equation of specified line is y=−43x−203 .

Chapter 1, Problem 8RE

Chapter 1, Problem 10RE

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 ( 4 , − 12 ) and parallel to a given line.

Concept explainers

Videos

To find: The equation of line that passes through (4,−12) and parallel to a given line.

Answer to Problem 9RE

Explanation of Solution

Chapter 1 Solutions

Additional Math Textbook Solutions