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 1.1, Problem 6E

(a)

To determine

To plot: The points A(−2,−1) and B(1,−2) .

(a)

Expert Solution

Explanation of Solution

Given information: The two points for a line L are A(−2,−1) and B(1,−2) .

Graph:

Plot the points A(−2,−1) and B(1,−2) on the coordinate plane as shown below.

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy), Chapter 1.1, Problem 6E , additional homework tip 1

Figure (1)

Interpretation: From the above graph it can be seen that the point A is −1 units downward from x -axis and point B is −2 units downward from x -axis.

(b)

To determine

To find: The slope of line L .

(b)

Expert Solution

Answer to Problem 6E

The slope of line L is equal to −13 .

Explanation of Solution

Given information: The two points for a line L are A(−2,−1) and B(1,−2) .

Formula used: The formula for the slope of line determined by points A(x1,y1) and B(x2,y2) is:

m=y2−y1x2−x1

Calculation:

Substitute −2 , 1 for x1 , x2 and −1 , −2 for y1 , y2 respectively in the formula for slope of line.

m=−2−(−1)1−(−2)=−2+11+2=−13

Therefore, the slope of line L is equal to −13 .

(c)

To determine

To graph: The line L .

(c)

Expert Solution

Explanation of Solution

Given information: The two points for a line L are A(−2,−1) and B(1,−2) .

Graph:

The equation of line with slope m and passing through the point (x1,y1) is given by,

y=m(x−x1)+y1

As calculated in part (b), the slope of the line L is equal to −13 and line passes through (−2,−1) .

Substitute −2 , −1 for x1 , y1 and −13 for m in the general equation for the equation of line L .

y=−13(x−(−2))+(−1)=−13x−23−1=−13x−53

So, the equation of the line L is y=−13x−53 .

Draw the graph of the line L as shown below on the coordinate plane.

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy), Chapter 1.1, Problem 6E , additional homework tip 2

Figure (2)

Interpretation: From the above graph it can be interpreted that the x -intercept of the equation is (−5, 0) .

Chapter 1.1, Problem 5E

Chapter 1.1, Problem 7E

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

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - 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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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To plot: The points A ( − 2 , − 1 ) and B ( 1 , − 2 ) .

Concept explainers

Videos

To plot: The points A(−2,−1) and B(1,−2) .

Explanation of Solution

To find: The slope of line L .

Answer to Problem 6E

Explanation of Solution

To graph: The line L .

Explanation of Solution

Chapter 1 Solutions

Additional Math Textbook Solutions