Concept explainers
To calculate: To find which lines are parallel and which are perpendicular
Answer to Problem 12CT
Line 1 and line 2 are perpendicular.
Explanation of Solution
Given: Lines are
Line 1:
Line 2:
Line 3:
Formula Used:
When two lines are parallel, then the lines has equal slope
When two line are perpendicular, then the product of slope is
Calculation:
Consider Line 1:
Comparing the equation of line with slope intercept form of line
Thus,
Consider Line 2:
Comparing the equation of line with slope intercept form of line
Thus,
Consider Line 3:
Comparing the equation of line with slope intercept form of line
Thus,
Since the product of slopes of line 1 and line 2 is
Thus, line 1 and line 2 are perpendicular.
Since no two slopes are equal, thus no lines are parallel
Conclusion:
Hence, line 1 and line 2 are perpendicular.
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