Explanation Procedure used: 1. Solve the given equation for y . 2. Compute the slope m from the above obtained equation. 3. The slope of the parallel line and the given line are equal. 4. 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 and 0 , respectively. Compute the equation of the parallel line as follows. Solve the given equation 2 y = x − 3 for y as follows. y = x − 3 2 y = x 2 − 3 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 = x 2 − 3 2 From the above equation, the value of m is 1 2 . Now substitute x 1 = 2 , y 1 = − 3 and m = 1 2 , in y − y 1 = m ( x − x 1 ) . y − ( − 3 ) = 1 2 ( x − 2 ) 2 ( y + 3 ) = 1 ( x − 2 ) 2 y + 6 = x − 2 [ Distribute ] On further simplification

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 137RE

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The standard form of the equation of the line that is parallel to the line 2y=x−3 and passes through the point (2,−3).

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Chapter 9, Problem 136RE

Chapter 9, Problem 138RE

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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 parallel to the line 2 y = x − 3 and passes through the point ( 2 , − 3 ) .

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The standard form of the equation of the line that is parallel to the line 2y=x−3 and passes through the point (2,−3).

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