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 2.4, Problem 8QR

To determine

To find:The equation of line passes through (1,4) and perpendicularto y=−34x+2 .

Expert Solution & Answer

Answer to Problem 8QR

The equation of line passes through (1,4) and perpendicular to y=−34x+2 is y=43x+83 .

Explanation of Solution

Given information:The given point is (1,4) and the line perpendicular to it is y=−34x+2 .

Formula used: The general equation of line passing through (x1,y1) and slope m is given by,

y−y1=m(x−x1)

Calculation:

Compare the given line y=−34x+2 with general equation y=mx+c .

m1=−34 and c=2

The line y=−34x+2 is perpendicular to the other line. So,

m1m2=−1(−34)m2=−1m2=43

So, the slope of the line is 43 .

To find the required equation of line, substitute 1 for x1 , 4 for y1 and 43 for m .

y−y1=m(x−x1)y−4=43(x−1)y−4=43x−43

Further simplify.

y=43x−43+4y=43x+83

Therefore, the equation of line passes through (1,4) and perpendicular to y=−34x+2 is y=43x+83 .

Chapter 2.4, Problem 7QR

Chapter 2.4, Problem 9QR

Chapter 2 Solutions

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

Ch. 2.1 - Prob. 1QR Ch. 2.1 - Prob. 2QR Ch. 2.1 - Prob. 3QR Ch. 2.1 - Prob. 4QR Ch. 2.1 - Prob. 5QR Ch. 2.1 - Prob. 6QR Ch. 2.1 - Prob. 7QR Ch. 2.1 - Prob. 8QR Ch. 2.1 - Prob. 9QR Ch. 2.1 - Prob. 10QR

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.1 - Prob. 47E Ch. 2.1 - Prob. 48E Ch. 2.1 - Prob. 49E Ch. 2.1 - Prob. 50E Ch. 2.1 - 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The equation of line passes through ( 1 , 4 ) and perpendicularto y = − 3 4 x + 2 .

Concept explainers

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To find:The equation of line passes through (1,4) and perpendicularto y=−34x+2 .

Answer to Problem 8QR

Explanation of Solution

Chapter 2 Solutions

Additional Math Textbook Solutions