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Find an equation for the given line in the form ax + by = c, where a, b, and are integers with no factor common to all three and a ≥ 0. Through (-10,35); parallel to 7x + 2y = 17 The equation of the line in the form ax + by = c, passing through (-10,35) and parallel to 7x + 2y = 17 is (Simplify your answer.)

Find an equation for the given line in the form ax + by = c, where a, b, and are integers with no factor common to all three and a ≥ 0. Through (-10,35); parallel to 7x + 2y = 17 The equation of the line in the form ax + by = c, passing through (-10,35) and parallel to 7x + 2y = 17 is (Simplify your answer.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Finding the Equation of a Parallel Line** **Problem Statement:** Find an equation for the given line in the form \( ax + by = c \), where \( a \), \( b \), and \( c \) are integers with no factor common to all three, and \( a \geq 0 \). - **Through**: \( (-10, 35) \) - **Parallel to**: \( 7x + 2y = 17 \) --- **Solution Process:** The equation of the line in the form \( ax + by = c \), passing through \( (-10, 35) \) and parallel to \( 7x + 2y = 17 \) is _______. (*Simplify your answer.*)
Transcribed Image Text:**Finding the Equation of a Parallel Line** **Problem Statement:** Find an equation for the given line in the form \( ax + by = c \), where \( a \), \( b \), and \( c \) are integers with no factor common to all three, and \( a \geq 0 \). - **Through**: \( (-10, 35) \) - **Parallel to**: \( 7x + 2y = 17 \) --- **Solution Process:** The equation of the line in the form \( ax + by = c \), passing through \( (-10, 35) \) and parallel to \( 7x + 2y = 17 \) is _______. (*Simplify your answer.*)
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Slope of any two parallel line is same. 

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