Explanation Formula used: Two vertical lines are perpendicular if and only if, their slopes m 1 and m 2 satisfy the condition m 1 m 2 = − 1 . Every line has no slope but is perpendicular to every line with slope 0. Calculation: If m is the slope, then the equation of the line is y = m x + b . The perpendicular line is given by y = 2 x + 3 . That is, the slope of the line is m 1 = 2 . It is known that m 1 m 2 = − 1 . 2 m 2 = − 1 m 2 = − 1 2 Thus, y = − 1 2 x + b . Since the point P ( − 1 , 3 ) is on the line y = − 1 2 x + b , substitute x = − 1 and y = 3 in y = − 1 2 x + b and solve for b

12th Edition

ISBN: 9780137657988

Author: BILLSTEIN

Publisher: INTER PEAR

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Chapter 13.CR, Problem 14CR

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The equation of the line through the point P(−1,3) and perpendicular to the line y=2x+3.

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Chapter 13 Solutions

PROB SOLV APPROACH FOR TEACHERS MYLAB

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The equation of the line through the point P ( − 1 , 3 ) and perpendicular to the line y = 2 x + 3 .

Solution Summary: The author explains how to find the equation of the line through the point P(-1,3) and perpendicular to y=2x+3.

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To find:

The equation of the line through the point P(−1,3) and perpendicular to the line y=2x+3.

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Chapter 13 Solutions

The equation of the line through the point P ( − 1 , 3 ) and perpendicular to the line y = 2 x + 3 .

Solution Summary: The author explains how to find the equation of the line through the point P(-1,3) and perpendicular to y=2x+3.

Concept explainers

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To find: The equation of the line through the point P(−1,3) and perpendicular to the line y=2x+3.

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Chapter 13 Solutions

To find:

The equation of the line through the point P(−1,3) and perpendicular to the line y=2x+3.