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 10QR

To determine

To find:The value of b such that the slope of the line passes through (2,3) and (4,b) .

Expert Solution & Answer

Answer to Problem 10QR

The value of b is 193 .

Explanation of Solution

Given information:The line passes through the points (2,3) and (4,b) . The slope of the line is 53 .

Formula used: The formula for the slope of line with initial point (x1,y1) and final point (x2,y2) is given by,

m=y2−y1x2−x1

Calculation:

Substitute 2for x1 , 4 for x2 , 3 for y1 and b for y2 in the above formula.

m=b−34−2=b−32

As per given the slope of the line is 53 . So, equate the slope of line to 53 .

b−32=533(b−3)=2×53b−9=103b=10+9

Further simplify.

3b=10+93b=19b=193

Therefore, value of b is 193 .

Chapter 2.4, Problem 9QR

Chapter 2.4, Problem 1E

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

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The value of b such that the slope of the line passes through ( 2 , 3 ) and ( 4 , b ) .

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To find:The value of b such that the slope of the line passes through (2,3) and (4,b) .

Answer to Problem 10QR

Explanation of Solution

Chapter 2 Solutions

Additional Math Textbook Solutions