Explanation Given: The linear equation: a x + b y = c Formula used: Equation of a line parallel to y axis has a form x = k . Equation of a line parallel to x axis has a form y = k . Calculation: The equation a x + b y = c will have the form x = k when b = 0 . ⇒ a x + b y = c ⇒ a x + ( 0 ) y = c ⇒ a x + 0 = c ⇒ a x a = c a ⇒ x = c a Thus, the equation a x + b y = c will be parallel to y axis when b = 0 . The equation a x + b y = c will have the form y = k when a = 0

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 1.2, Problem 3PQ

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When is the line ax+by=c parallel to y axis?

When is the line ax+by=c parallel to x axis?

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Chapter 1.2, Problem 2PQ

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Chapter 1 Solutions

Calculus - Standalone book

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When is the line a x + b y = c parallel to y axis? When is the line a x + b y = c parallel to x axis?

Solution Summary: The author explains how the linear equation ax+by=c will be parallel to y axis when b=0.

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When is the line ax+by=c parallel to y axis?

When is the line ax+by=c parallel to x axis?

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Chapter 1 Solutions

When is the line a x + b y = c parallel to y axis? When is the line a x + b y = c parallel to x axis?

Solution Summary: The author explains how the linear equation ax+by=c will be parallel to y axis when b=0.

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When is the line ax+by=c parallel to y axis? When is the line ax+by=c parallel to x axis?

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Chapter 1 Solutions

When is the line ax+by=c parallel to y axis?

When is the line ax+by=c parallel to x axis?