Concept explainers
To find: the lines from the right angle or not.
Answer to Problem 31E
Therefore, the angle between the two lines is not right angle.
Explanation of Solution
Given:
Consider the line L1 passing through
The objective is to check whether the lines form the right angle or not.
Calculation:
Find the slope of the line L1 as follows:
The slope of line passing through two points
Therefore, the slope of the line
Find the slope of the line L2 as follows:
The slope of line passing through two points
Therefore, the slope of the line
The product of slope
That is,
Since their slopes are not negative reciprocals of each other, therefore, the angle between the two lines is not right angle.
Conclusion:
Therefore, the angle between the two lines is not right angle.
Chapter 4 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education