Explanation Given: Equation: x 2 + y 2 + 4 x − 6 y + 9 = 0 Calculations: The given equations look like the equation of a circle because the coefficients of x 2 and y 2 are same, including the sign. So rewriting the given equation in the standard form of a circle as follows: x 2 + y 2 + 4 x − 6 y + 9 = 0 ⇒ x 2 + y 2 + 4 x − 6 y = − 9 ( Move the constant term to the right hand side ) ⇒ x 2 + 4 x + y 2 − 6 y = − 9 ( Group the x − terms together and y − terms together ) ⇒ x 2 + 4 x + 2 2 + y 2 − 6 y + 3 2</

6th Edition

ISBN: 9780136554585

Author: Blitzer

Publisher: VST

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System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 13, Problem 10CRE

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The graph of the given equation on a rectangular coordinate system.

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Chapter 13 Solutions

EBK INTRODUCTORY AND INTERMEDIATE ALGEB

Ch. 13.1 - Prob. 1CAVC Ch. 13.1 - Prob. 2CAVC Ch. 13.1 - Prob. 3CAVC Ch. 13.1 - Prob. 4CAVC Ch. 13.1 - Prob. 1ES Ch. 13.1 - Prob. 2ES Ch. 13.1 - Prob. 3ES Ch. 13.1 - Prob. 4ES Ch. 13.1 - Prob. 5ES Ch. 13.1 - Prob. 6ES

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The graph of the given equation on a rectangular coordinate system.

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