Concept explainers
To calculate: To determine whether the statement is always, sometimes or never true.
Answer to Problem 33E
Thestatement is never true
Explanation of Solution
Given: Statement is “Two lines with positive slope are perpendicular”
Formula Used:
When two lines are perpendicular, then the product of their slopes is equal to
When two lines are parallel, then the lines have equal slope
Calculation:
Statement is given as follows:
“Two lines with positive slope are perpendicular”
Consider the equation of perpendicular lines with same y-intercept as follows:
Since the product of slopes of perpendicular lines is equal to
Thus, slope of line has to be negative
Thus, the statement is never true
Conclusion:
Hence, thestatement is never true
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