Answer The slope of the line is m = − 1 2 Explanation Given information: The points lie on line are represented by the table Concept and Formula Used: Slope of line passing through two points is given by m = ( y 2 − y 1 x 2 − x 1 ) . Calculation: The points lie on line are represented by the table Choose any two points from the table to find the slope as all points lie on the line. Use the points ( x 1 , y 1 ) = ( − 9 , 2 ) & ( x 2 , y 2 ) = ( − 5 , 0 ) Slope of line passing through two points is given by m = ( y 2 − y 1 x 2 − x 1 ) where ( x 1 , y 1 ) = ( − 9 , 2 ) & ( x 2 , y 2 ) = ( − 5 , 0 ) m = ( 0 − ( 2 ) − 5 − ( − 9 ) ) m = − 2 − 5 + 9 m = − 2 4 m = − 1 2 . Conclusion: The slope of the line is m = − 1 2

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN: 9781680331141

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 3.5, Problem 9E

To determine

To Find: The slope of the line represented by the points that lie on it.

Expert Solution & Answer

Answer to Problem 9E

The slope of the line is m=−12

Explanation of Solution

Given information:

The points lie on line are represented by the table

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 3.5, Problem 9E , additional homework tip 1

Concept and Formula Used:

Slope of line passing through two points is given by m=(y2−y1x2−x1) .

Calculation:

The points lie on line are represented by the table

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 3.5, Problem 9E , additional homework tip 2

Choose any two points from the table to find the slope as all points lie on the line.

Use the points (x1,y1)=(−9,2)&(x2,y2)=(−5,0)

Slope of line passing through two points is given by

m=(y2−y1x2−x1)where (x1,y1)=(−9,2)&(x2,y2)=(−5,0)m=(0−(2)−5−(−9))m=−2−5+9m=−24m=−12 .

Conclusion:

The slope of the line is m=−12

Chapter 3.5, Problem 8E

Chapter 3.5, Problem 10E

Chapter 3 Solutions

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

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