Explanation Given: ( − 3 , 7 ) and ( 4 , − 1 ) Formula Used: Slope of a line: Slope of a line passing through the points P ( x 1 , y 1 ) and Q ( x 2 , y 2 ) is given by: m = y 2 − y 1 x 2 − x 1 Midpoint Formula: The midpoint M of the line segment with endpoints P ( x 1 , y 1 ) , Q ( x 2 , y 2 ) has coordinates: M ( x 1 + x 2 2 , y 1 + y 2 2 ) Point Slope form of a line: y − y 1 = m ( x − x 1 ) Is the point slope form of line with slope m and passes through the point ( x 1 , y 1 ) . Slope of perpendicular lines : m 1 and m 2 are slopes of two perpendicular lines if and only if m 1 m 2 = − 1 Calculations: First find the midpoint of the line segment connecting ( − 3 , 7 ) and ( 4 , − 1 )

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 1.3, Problem 40PS

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To find:equation of perpendicular line passing through the midpoint of the line segment connecting (−3,7) and (4,−1) .

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Chapter 1.3, Problem 39PS

Chapter 1.3, Problem 41PS

Chapter 1 Solutions

Calculus

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equation of perpendicular line passing through the midpoint of the line segment connecting ( − 3 , 7 ) and ( 4 , − 1 ) .

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To find:equation of perpendicular line passing through the midpoint of the line segment connecting (−3,7) and (4,−1) .

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Chapter 1 Solutions