Explanation Given: The required line of equation of line which is perpendicular to y = − 2 3 x + 4 is passing through the point ( − 4 , 1 ) . Formula used: The equation of line passing through the point ( x 1 , y 1 ) is given by, y − y 1 = m ( x − x 1 ) Here, m is the slope of the line. Calculation: The slope intercept form of a line is: y = m x + c The provided equation of line is in the slope intercept form: y = − 2 3 x + 4 Thus, on comparing this equation with the slope intercept form, the slope of provided line is, m = − 2 3 Therefore, the slope of the line perpendicular to this line will be negative reciprocal of slope of the provided line

8th Edition

ISBN: 9780134178967

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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Chapter 11.2, Problem 75E

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To calculate: The equation of line which is perpendicular to y=−23x+4.

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Chapter 11.2, Problem 74E

Chapter 11.2, Problem 76E

Chapter 11 Solutions

Intermediate Algebra (8th Edition)

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The equation of line which is perpendicular to y = − 2 3 x + 4 .

Solution Summary: The author calculates the equation of line which is perpendicular to y=-23x+4.

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To calculate: The equation of line which is perpendicular to y=−23x+4.

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