Explanation Given Information: The line passing through ( 0 , 1 ) and ( 4.2 , 2 ) and the line passing through ( 2.1 , 3 ) and ( 5.2 , 0 ) . Formula used: The equation of a line passing through two points ( x 1 , y 1 ) and ( x 2 , y 2 ) is y − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1 ) . Calculation: Consider the points, ( 0 , 1 ) and ( 4.2 , 2 ) Recall that the equation of a line passing through two points ( x 1 , y 1 ) and ( x 2 , y 2 ) is y − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1 ) . Substitute ( 0 , 1 ) for ( x 1 , y 1 ) and ( 4.2 , 2 ) for ( x 2 , y 2 ) in y − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1 ) . y − 1 = 2 − 1 4.2 − 0 ( x − 0 ) y − 1 = 1 4.2 ( x − 0 ) 4.2 ( y − 1 ) = ( x − 0 ) 4.2 y − 4.2 = x − 0 Simplify it further, x − 4.2 y = − 4.2 …… (1) Now, consider the points, ( 2.1 , 3 ) and ( 5.2 , 0 ) Recall that the equation of a line passing through two points ( x 1 , y 1 ) and ( x 2 , y 2 ) is y − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1 ) . Substitute ( 2.1 , 3 ) for ( x 1 , y 1 ) and ( 5.2 , 0 ) for ( x 2 , y 2 ) in y − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1 ) . y − 3 = 0 − 3 5.2 − 2.1 ( x − 2.1 ) y − 3 = − 3 3

Finite Mathematics and Applied Calculus (MindTap Course List)

7th Edition

ISBN: 9781337274203

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Chapter 4.1, Problem 27E

To determine

To calculate: The intersection point of the line passing through (0,1) and (4.2,2) and the line passing through (2.1,3) and (5.2,0), graphically, with the help of graphing calculator.

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Finite Mathematics and Applied Calculus (MindTap Course List)

Ch. 4.1 - In Exercises 1-6, find three different particular...Ch. 4.1 - In Exercises 1-6, find three different particular...Ch. 4.1 - In Exercises 1-6, find three different particular...Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - In Exercises 7-20, find all solutions of the given...

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The intersection point of the line passing through ( 0 , 1 ) and ( 4.2 , 2 ) and the line passing through ( 2.1 , 3 ) and ( 5.2 , 0 ) , graphically, with the help of graphing calculator.

Solution Summary: The author calculates the intersection point of a line passing through (0,1)and

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To calculate: The intersection point of the line passing through (0,1) and (4.2,2) and the line passing through (2.1,3) and (5.2,0), graphically, with the help of graphing calculator.

Chapter 4 Solutions