Explanation Approach: The lines y = m 1 x + b and y = m 2 x + b are parallel if and only if m 1 = m 2 . The lines y = m 1 x + b and y = m 2 x + b are perpendicular if and only if m 1 = − 1 m 2 . Calculation: Given, Line l 1 passes through ( 1 , 2 ) and ( 5 , 10 ) . Line l 2 passes through ( 1 , 3 ) and ( 3 , 4 ) . Slope of the line joining the points ( 1 , 2 ) and ( 5 , 10 ) : Let, m 1 be the slope of the line l 1 joining ( 1 , 2 ) and ( 5 , 10 ) . We have, slope m 1 = y 2 − y 1 x 2 − x 1 Here, ( x 1 , y 1 ) = ( 1 , 2 ) and ( x 2 , y 2 ) = ( 5 , 10 )

6th Edition

ISBN: 9780357422496

Author: Crauder

Publisher: CENGAGE L

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Chapter 3.FR2, Problem 3E

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Whether the line l1 passes through (1,2) and (5,10) and the line l2 passes through (1,3) and (3,4) are parallel, perpendicular, or neither.

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Chapter 3.FR2, Problem 2E

Chapter 3.FR2, Problem 4E

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Whether the line l 1 passes through ( 1 , 2 ) and ( 5 , 10 ) and the line l 2 passes through ( 1 , 3 ) and ( 3 , 4 ) are parallel, perpendicular, or neither.

Solution Summary: The author explains how to determine whether the lines l_1 pass through and the other lines are parallel, perpendicular, or neither.

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Whether the line l1 passes through (1,2) and (5,10) and the line l2 passes through (1,3) and (3,4) are parallel, perpendicular, or neither.

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