(a)
To show that the equation of the line that passes through the points
(a)
Answer to Problem 37E
Proved that the equation of the line is
Explanation of Solution
Given:
Point
Point
Formula Used:
The equation of a line is written as
Calculation:
Given:
Point
Point
Thus, slope
As per the above definition, we have equation of the line as
Thus, the equation of the line−
Thus, the equation of the line is
Hence, proved that the equation of the line is
Conclusion:
Hence, proved that the equation of the line is
(b)
To show that the point
(b)
Answer to Problem 37E
The point
Explanation of Solution
Given:
Point
Formula Used:
The equation of a line is written as
Calculation:
Given:
Point
Equation of the line -
Putting the above values in the above equation, we have:
L.H.S.
R.H.S.
R.H.S.
Since, L.H.S.
Thus, the point
Conclusion:
Hence, the point
Chapter 4 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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- 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