Explanation Procedure used: 1. Solve the given equation for y and compute the slope m from the that equation. 2. The slope of the perpendicular line and the given line are negative reciprocal to each other. 3. Obtain the point-slope form of the straight line by substituting the value of m x 1 and y 1 in y − y 1 = m ( x − x 1 ) . 5. Express the equation in slope intercept form y = m x + b or in the standard form A x + B y = C . Calculation: From the given information, the values of x 1 and y 1 are 1 2 and 3 , respectively. Obtain the equation of the perpendicular line as follows. Solve the given equation 5 x − y = 10 for y as follows. − y = − 5 x + 10 y = 5 x − 10 Compare the above equation with the slope –intercept form y = m x + b and obtain the value of m . y = m ↓ x + b y = 5 x − 10 From the above, the value of m given is 5 . Obtain the slope of the perpendicular line as follows. Since the slopes of perpendicular lines are negative reciprocal to each other obtain the negative reciprocal of 5 . m perpendicular = − ( 1 ( 5 ) ) = − 1 5 Thus, m perpendicular is − 1 5 . Now substitute x 1 = 1 2 , y 1 = 3 and m = − 1 5 , in y − y 1 = m ( x − x 1 )

College Mathematics for Trades and Technologies (10th Edition) (What's New in Trade Math)

10th Edition

ISBN: 9780134690339

Author: Cheryl Cleaves, Margie Hobbs

Publisher: PEARSON

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Chapter 9, Problem 151RE

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The standard form of the equation that is perpendicular to the line 5x−y=10 and passes through the point (12,3) and verify using a graphing calculator.

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Chapter 9, Problem 150RE

Chapter 9, Problem 152RE

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Chapter 9 Solutions

College Mathematics for Trades and Technologies (10th Edition) (What's New in Trade Math)

Ch. 9.1 - Find y if x = 4 in the equation 3x + 2y = 6. Ch. 9.1 - Locate the points in Fig. 9–12 by giving the...Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E

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The standard form of the equation that is perpendicular to the line 5 x − y = 10 and passes through the point ( 1 2 , 3 ) and verify using a graphing calculator.

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The standard form of the equation that is perpendicular to the line 5x−y=10 and passes through the point (12,3) and verify using a graphing calculator.

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