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 values 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 − 2 and 0 , respectively. Compute the equation of the perpendicular line as follows. Solve the given equation x + 2 y = 5 for y as follows. 2 y = − x + 5 y = − x + 5 2 y = − 1 2 x + 5 2 Compare the above equation with the slope –intercept form y = m x + b and obtain the value of m . y = m ↓ x + b y = − 1 2 x + 5 2 From the above equation, the value of m given is − 1 2 . 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 − 1 2 . m perpendicular = − ( 1 ( − 1 2 ) ) = − 2 − 1 = 2 Thus, m perpendicular is 2 . Now substitute x 1 = − 2 , y 1 = 0 and m = 2 , in y − y 1 = m ( x − x 1 )

Pearson eText for College Mathematics for Trades and Technologies -- Instant Access (Pearson+)

10th Edition

ISBN: 9780137400010

Author: Cheryl Cleaves, Margie Hobbs

Publisher: PEARSON+

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Chapter 9, Problem 147RE

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The standard form of the equation of the line that is perpendicular to the line x+2y=5 and passes through the point (−2,0) and verify using a graphing calculator.

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Chapter 9, Problem 146RE

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Chapter 9 Solutions

Pearson eText for College Mathematics for Trades and Technologies -- Instant Access (Pearson+)

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 of the line that is perpendicular to the line x + 2 y = 5 and passes through the point ( − 2 , 0 ) and verify using a graphing calculator.

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The standard form of the equation of the line that is perpendicular to the line x+2y=5 and passes through the point (−2,0) and verify using a graphing calculator.

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