Calculus: Graphical, Numerical, Algebraic: Solutions Manual

3rd Edition

ISBN: 9780132014144

Author: Ross L. Finney, Franklin Demana, Bert K. Waits, Daniel Kennedy

Publisher: Pearson Prentice Hall

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Question

Chapter 1, Problem 11RE

To determine

To find: The equation of line that passes through (−1,2) and perpendicular to a given line.

Expert Solution & Answer

Answer to Problem 11RE

The required equation of specified line is y=23x+83 .

Explanation of Solution

Given information: The point is (−1,2) and the perpendicular line is 12x+13y=1 .

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

y−y1=m(x−x1) ...... (1)

Calculation:

Rearrange the given equation.

12x+13y=113y=−12x+1y=−32x+3

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

m=−32

If a line is perpendicular to the other then the slope of other line is negative reciprocal of one line. So, the slope of its perpendicular line is:

slope=23

Substitute −1 for x1 , 2 for y1 , and 23 for m in the equation (1).

y−2=23(x−(−1))y−2=23x+23y=23x+23+2y=23x+83

Therefore, the required equation of specified line is y=23x+83 .

Chapter 1, Problem 10RE

Chapter 1, Problem 12RE

Chapter 1 Solutions

Calculus: Graphical, Numerical, Algebraic: Solutions Manual

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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Prob. 61E Ch. 1.6 - Prob. 62E Ch. 1.6 - Prob. 1QQ Ch. 1.6 - Prob. 2QQ Ch. 1.6 - Prob. 3QQ Ch. 1.6 - Prob. 4QQ Ch. 1 - Prob. 1RE Ch. 1 - Prob. 2RE Ch. 1 - Prob. 3RE Ch. 1 - Prob. 4RE Ch. 1 - Prob. 5RE Ch. 1 - Prob. 6RE Ch. 1 - Prob. 7RE Ch. 1 - Prob. 8RE Ch. 1 - Prob. 9RE Ch. 1 - Prob. 10RE Ch. 1 - Prob. 11RE Ch. 1 - Prob. 12RE Ch. 1 - Prob. 13RE Ch. 1 - Prob. 14RE Ch. 1 - Prob. 15RE Ch. 1 - Prob. 16RE Ch. 1 - Prob. 17RE Ch. 1 - Prob. 18RE Ch. 1 - Prob. 19RE Ch. 1 - Prob. 20RE Ch. 1 - Prob. 21RE Ch. 1 - Prob. 22RE Ch. 1 - Prob. 23RE Ch. 1 - Prob. 24RE Ch. 1 - Prob. 25RE Ch. 1 - Prob. 26RE Ch. 1 - Prob. 27RE Ch. 1 - Prob. 28RE Ch. 1 - Prob. 29RE Ch. 1 - Prob. 30RE Ch. 1 - Prob. 31RE Ch. 1 - Prob. 32RE Ch. 1 - Prob. 33RE Ch. 1 - Prob. 34RE Ch. 1 - Prob. 35RE Ch. 1 - Prob. 36RE Ch. 1 - Prob. 37RE Ch. 1 - Prob. 38RE Ch. 1 - Prob. 39RE Ch. 1 - Prob. 40RE Ch. 1 - Prob. 41RE Ch. 1 - Prob. 42RE Ch. 1 - Prob. 43RE Ch. 1 - Prob. 44RE Ch. 1 - Prob. 45RE Ch. 1 - Prob. 46RE Ch. 1 - Prob. 47RE Ch. 1 - 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The equation of line that passes through ( − 1 , 2 ) and perpendicular to a given line.

Concept explainers

Videos

To find: The equation of line that passes through (−1,2) and perpendicular to a given line.

Answer to Problem 11RE

Explanation of Solution

Chapter 1 Solutions

Additional Math Textbook Solutions