Explanation Given Information: The provided point is ( 15 , 16 ) and the provided parallel line is 2 x − 10 y = 7 . Formula Used: The steps to evaluate the equation of the line is as follows, Step1: Convert the equation of the line in the standard form y = m x + b . Step2: Determine the slope of the provided line which will be same as the slope of the line parallel to it. Step3: Use the slope-intercept equation y − y 1 = m ( x − x 1 ) to determine the equation of the line in the form of y = m x + b . Calculation: Consider the provided equation of line is, 2 x − 10 y = 7 Convert the equation of the line in the standard form. 2 x − 10 y = 7 10 y = 2 x − 7 y = 1 5 x − 7 10 The value of the slope of the line 2 x − 10 y = 7 is m = 1 5 . The line is parallel to the provided line then the slope of the line will same. Use slope-intercept equation y − y 1 = m ( x − x 1 ) to determine the equation of the parallel line

Finite Mathematics & Its Applications (12th Edition)

12th Edition

ISBN: 9780134437767

Author: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

Publisher: PEARSON

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Chapter 1, Problem 7RE

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To calculate: The equation of the line passing through the point (15,16) and parallel to the line 2x−10y=7.

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Finite Mathematics & Its Applications (12th Edition)

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The equation of the line passing through the point ( 15 , 16 ) and parallel to the line 2 x − 10 y = 7 .

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To calculate: The equation of the line passing through the point (15,16) and parallel to the line 2x−10y=7.

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