To determine the equation of the line that might be perpendicular to the line given in the graph from the options:
The line
Given:
Given the graph of a line:
Concept Used:
Slope of the line
Slope intercept form of a line:
Given a line having the slope
Slopes of perpendicular lines:
Given two lines
Observe that
Now, if
Calculation:
Find the slope of the line given in the graph:
Observe that the line given in the graph passes through the points
Suppose that
Then, it follows that:
Find the value of
Thus, the slope of the line:
Find the slope of the line perpendicular to the line given in the graph:
Suppose that
Then, it follows that
Substitute
Find the value of
Identify the line with slope
Observe that the line
Conclusion:
The line
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education